Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

$2 - \sqrt{5} + 2 + \sqrt{5}$

Step 2

Simplify by adding terms.

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Step 2.1

Add $2$ and $2$ .

$4 - \sqrt{5} + \sqrt{5}$

Step 2.2

Add $- \sqrt{5}$ and $\sqrt{5}$ .

$4 + 0$

Step 2.3

Add $4$ and $0$ .

$4$