Simplify: sqrt(2-sqrt(7))^2

asked Mar 1, 2024 188k views

5 votes

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5 votes

Answer:

$\sf \sqrt{2 - √(7)}^2 = 2 - √(7)$

Explanation:

To simplify
$\sf \sqrt{2 - √(7)}^2$ , we can square the expression inside the square root:

$\sf (\sqrt{2 - √(7)})^2 = 2 - √(7)$

So,
$\sf \sqrt{2 - √(7)}^2 = 2 - √(7)$ .

Deafsheep answered Mar 6, 2024

8.3k points

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