Evaluate the radicals. √(8)

Name: Problem 6, Chapter 10: Beginning and Intermediate Algebra
Uploaded: 2021-03-29T09:13:03-08:00
Duration: 13 s
Channel: Prashansha Kaushik
Description: Evaluate the radicals. √(8)

step 1 The given question is cube under root 8. We know that 2 raise to the power cube is equals to 8.

Question

Evaluate the radicals. $$\sqrt[3]{8}$$

   Evaluate the radicals.
$$\sqrt[3]{8}$$

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 10, Problem 6

Instant Answer

Solved by Expert Prashansha Kaushik

03/29/2021

Step 1

This means we are looking for a number that, when cubed (multiplied by itself twice), equals 8. Show more…

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Evaluate the radicals. $$\sqrt[3]{8}$$

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Key Concepts

Relationship Between Exponents and Radicals

Radicals can be expressed using fractional exponents. For example, the cube root of a number can be written as raising that number to the 1/3 power. This relationship bridges the concepts of exponentiation and radical operations, making it easier to manipulate and simplify expressions algebraically.

Radical Expression

A radical expression represents the root of a number. It involves the radical symbol (? or ? for cube roots) and is used to denote the operation of finding an nth root of the radicand, which is useful for solving equations or simplifying expressions.

Cube Root

The cube root of a number is the value that, when multiplied by itself three times, equals that number. This concept is critical in algebra for understanding how to reverse the operation of cubing, and it plays a key role in simplifying expressions that involve cube roots.

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