RAÍZ CÚBICA Super facil

Daniel Carreón

27 Jul 201705:24

Summary

TLDRDaniel Carrión's video tutorial focuses on the concept of cube roots. He explains the basics of exponentiation, specifically cubing numbers, using examples like 2^3=8, 3^3=27, and 4^3=64. Carrión then introduces cube roots, detailing how to find a number that when cubed equals a given number, such as ∛27=3 and ∛64=4. He demonstrates the calculation of cube roots for numbers like 125 and 216, and advises using a calculator for more complex roots like ∛90. Carrión emphasizes understanding the concept and encourages viewers to engage with the content.

Takeaways

📐 The video discusses the concept of cube roots, a favorite topic of the speaker, Daniel Carreón.
🔢 The script explains exponentiation, specifically focusing on the cube (third power), where a number is multiplied by itself a certain number of times (the exponent).
💡 It provides examples of calculating cubes: 2^3 = 2 * 2 * 2 = 8, 3^3 = 27, 4^3 = 64, 5^3 = 125, 6^3 = 216, and 7^3 = 343.
🔑 The script introduces the parts of a cube root: the index (3 for cube roots), the radicand (the number under the root), and the result (the cube root itself).
🔄 The cube root of a number is found by identifying which number, when cubed, equals the radicand.
🔢 Examples of cube roots given are: ∛8 = 2, ∛27 = 3, ∛64 = 4, ∛125 = 5, ∛216 = 6, and ∛343 = 7.
🧮 The script encourages the use of a calculator for cube root calculations, especially for non-integer results like ∛90 and ∛1.125, which are approximately 4.5.
📉 The speaker demonstrates the verification process for cube roots by cubing the result to see if it equals the original radicand.
📝 The importance of understanding the concept and meaning of cube roots is emphasized over just performing the calculation.
🎥 The speaker invites viewers to like, subscribe, and enable notifications for more educational content and mentions following on social media.

Q & A

What is the topic Daniel Carrión is discussing in the script?
-Daniel Carrión is discussing the concept of the cube root.
What is meant by '2 to the third power' in the script?
-In the script, '2 to the third power' means multiplying the number 2 by itself three times, which equals 8.
What is the base and exponent in the expression '2 to the third power'?
-In the expression '2 to the third power', the base is the number 2, and the exponent is 3.
How does Daniel explain the cube of 3 in the script?
-Daniel explains the cube of 3 by multiplying the number 3 by itself three times, resulting in 27.
What is the cube of 5 according to the script?
-The cube of 5 is calculated as 5 multiplied by itself three times, which equals 125.
What does Daniel mean by 'radicando' and 'raíz' in the context of cube roots?
-In the context of cube roots, 'radicando' refers to the number inside the cube root symbol, and 'raíz' is the result of the cube root operation.
What is the cube root of 8 as explained in the script?
-The cube root of 8 is 2, because 2 cubed (2 x 2 x 2) equals 8.
How does Daniel find the cube root of 27 in the script?
-Daniel finds the cube root of 27 by recalling that 3 cubed (3 x 3 x 3) equals 27, so the cube root of 27 is 3.
What is the significance of the number 4.5 in the script?
-The number 4.5 is significant because it is the cube root of 90 and 1.125, as 4.5 cubed equals 90 and 1.125.
Why does Daniel recommend using a calculator for cube root calculations?
-Daniel recommends using a calculator for cube root calculations to simplify the process and ensure accuracy.
What does Daniel encourage viewers to do at the end of the script?
-At the end of the script, Daniel encourages viewers to like the video, subscribe to his channel, and click the bell for notifications. He also invites them to follow him on social media and leave comments.

Outlines

00:00

📚 Introduction to Cube Roots

Daniel Carrión introduces the concept of cube roots, starting with a review of basic concepts like exponentiation. He explains that the base number raised to the power of 3 (e.g., 2^3) represents the base multiplied by itself three times. Daniel provides examples of calculating cubes for numbers 2 through 7, showing how each cube is calculated by multiplying the base number by itself three times. He then moves on to explaining cube roots, using the index 3 to indicate the cube root, and clarifies the terms 'radicand' for the number under the radical and 'root' for the result. Daniel demonstrates finding cube roots for numbers 8 through 343 by identifying which number, when cubed, equals the radicand. He concludes with a practical tip on using a calculator to find cube roots and encourages viewers to like, subscribe, and follow him on social media.

05:01

👋 Closing and Call to Action

In the closing paragraph, Daniel Carrión invites viewers to comment and look forward to the next video. He reminds viewers to subscribe to his channel and also to subscribe to his friend Indomito Champ's channel, indicating a collaborative relationship. The paragraph serves as a friendly sign-off, encouraging viewer engagement and promoting community.

Mindmap

Keywords

💡Cubic Root

The cubic root of a number is a value that, when raised to the third power, gives the original number. It is the inverse operation of cubing a number. In the video, Daniel Carreón explains the concept by finding the cubic root of numbers like 27, 64, and 125, which are the results of cubing 3, 4, and 5 respectively. This concept is central to the video's theme of understanding cube roots.

💡Base

In the context of exponents, the base is the number that is being raised to a power. Daniel mentions '2' as the base when discussing 2 raised to the third power, or '2 cubed'. The base is the fundamental number in the operation, and understanding it is key to grasping how exponents work.

💡Exponent

The exponent is the power to which the base number is raised. In the script, Daniel explains that the '3' in '2 to the third power' is the exponent, indicating that the base (2) is multiplied by itself three times. The exponent tells us how many times the base is used in the multiplication.

💡Multiplication

Multiplication is the mathematical operation of scaling one number by another. In the video, Daniel uses multiplication to demonstrate how to calculate powers and cube roots, such as multiplying '2' by itself three times to get '8', which is '2 cubed'. Multiplication is essential for understanding the process of cubing numbers.

💡Radicand

The radicand is the number that appears under the radical sign in a cube root operation. In the script, Daniel refers to the radicand when he explains that the cube root of 8 is '2' because '2 cubed' equals 8. The radicand is the number we are trying to find the root of.

💡Index

The index in a root operation is the degree of the root, which in the case of a cube root is '3'. Daniel mentions the index when discussing cube roots, indicating that the root operation is to the third power. The index tells us what power the radicand is being raised to in the root operation.

💡Cube

Cubing a number means raising it to the third power, which is the same as multiplying the number by itself three times. Daniel uses the term 'cube' when explaining the concept of '2 cubed', which is 2 multiplied by itself three times to get 8. Cubing is a fundamental concept in the video.

💡Calculator

A calculator is an electronic device used for performing calculations. Daniel advises using a calculator to find cube roots, such as the cube root of 90 and 1.125, which equals approximately 4.5. The calculator is a practical tool for performing cube root operations and is recommended for ease and accuracy.

💡Like

In the context of the video, 'like' refers to the action of expressing approval for the content by clicking the 'like' button on the video platform. Daniel asks viewers to 'like' the video, which is a common request from content creators to increase engagement and visibility of their videos.

💡Subscribe

To 'subscribe' means to sign up to receive future content from a channel or creator. Daniel encourages viewers to subscribe to his channel, which is a way for viewers to follow his content and receive notifications when new videos are posted.

💡Social Media

Social media refers to platforms where users can interact and share content. Daniel mentions following him on his social media channels, which is a way for viewers to connect with him outside of the video platform and stay updated on his activities.

Highlights

Introduction to the concept of cube root by Daniel Carreón.

Explanation of the basic concept of exponentiation with the example of 2 cubed.

Definition of the base and exponent in an exponentiation expression.

Example of calculating 3 to the power of 3 (3 cubed).

Example of calculating 4 to the power of 3 (4 cubed).

Example of calculating 5 to the power of 3 (5 cubed).

Example of calculating 6 to the power of 3 (6 cubed).

Example of calculating 7 to the power of 3 (7 cubed).

Introduction to the parts of a cube root: index, radicand, and root.

Calculation of the cube root of 8, which is 2.

Calculation of the cube root of 27, which is 3.

Calculation of the cube root of 64, which is 4.

Calculation of the cube root of 125, which is 5.

Calculation of the cube root of 216, which is 6.

Calculation of the cube root of 343, which is 7.

Calculation of the cube root of 90 and 1.125 using a calculator.

Verification of the cube root of 90 and 1.125 by cubing the result.

Emphasis on understanding the concept and using a calculator for cube root operations.

Encouragement to like, subscribe, and click the notification bell for more videos.

Invitation to follow on social media and to comment on the video.

End of the video with a reminder to subscribe to the channel.