Multiply. √(2) √(3)

Name: Problem 10, Chapter 7: Intermediate Algebra : Concepts and Applications
Uploaded: 2020-07-09T18:59:05-08:00
Duration: 16 s
Channel: Ankit Gupta
Description: Multiply. √(2) √(3)

step 1 cube root of 2 times cube root of 3 we have to find its value so as index is same that is 3 so i

Question

Multiply. $$\sqrt[3]{2} \sqrt[3]{3}$$

   Multiply.
$$\sqrt[3]{2} \sqrt[3]{3}$$

Intermediate Algebra : Concepts and Applications

Marvin L. Bittinger,… 10th Edition

Chapter 7, Problem 10

Instant Answer

Solved by Expert Ankit Gupta

07/09/2020

Step 1

Step 1: We are given two cube roots, $\sqrt[3]{2}$ and $\sqrt[3]{3}$, and we need to multiply them. Show more…

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Multiply. $$\sqrt[3]{2} \sqrt[3]{3}$$

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Key Concepts

Properties of Radicals

This concept involves rules governing the manipulation of radical expressions. One key rule is that when multiplying radicals with the same index, such as cube roots, the product can be combined into a single radical by multiplying the radicands. This property simplifies expressions and is fundamental in algebra.

Cube Roots

Cube roots are a specific type of radical that represent a number which, when raised to the third power, gives the original number. They follow the same multiplication properties as other radicals, making it possible to combine or simplify expressions involving cube roots.

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