Simplify square root of (3 square root of 2- square root of 14)^2

$\sqrt{{(3 \sqrt{2} - \sqrt{14})}^{2}}$

Step 1

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

$3 \sqrt{2} - \sqrt{14}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{2} - \sqrt{14}$

Decimal Form:

$0.50098330 \dots$