Simplify square root of 44- square root of 11

$\sqrt{44} - \sqrt{11}$

Step 1

Simplify each term.

Rewrite $44$ as $2^{2} \cdot 11$ .

Factor $4$ out of $44$ .

$\sqrt{4 (11)} - \sqrt{11}$

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 11} - \sqrt{11}$

$\sqrt{2^{2} \cdot 11} - \sqrt{11}$

Pull terms out from under the radical.

$2 \sqrt{11} - \sqrt{11}$

$2 \sqrt{11} - \sqrt{11}$

Step 2

Subtract $\sqrt{11}$ from $2 \sqrt{11}$ .

$\sqrt{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{11}$

Decimal Form:

$3.31662479 \dots$

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