Questions: Simplify by factoring. √40

Transcript text: Simplify by factoring. \[ \sqrt{40} \]

Solution

Simplification Process

Given expression: \(\sqrt[2]{40}\)

Step 1: Factorize x

Factorization of 40: \(2^3 \times 5^1\)

Step 2: Identify Perfect n-th Powers and Simplify Inside the Root

Outside the root: 2, Inside the root: \(\sqrt[2]{10}\)

The simplified form is: \(2\sqrt[2]{10}\), rounded to 0 decimal places.

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