Evaluate square root of (5- square root of 10)^2

$\sqrt{{(5 - \sqrt{10})}^{2}}$

Step 1

Pull terms out from under the radical, assuming positive real numbers.

$5 - \sqrt{10}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$5 - \sqrt{10}$

Decimal Form:

$1.83772233 \dots$