Question

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

Answer 1

`\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)`.