Simplify square root of 2 square root of 14

$\sqrt{2} \sqrt{14}$

Step 1

Combine using the product rule for radicals.

$\sqrt{2 \cdot 14}$

Step 2

Multiply $2$ by $14$ .

$\sqrt{28}$

Step 3

Rewrite $28$ as $2^{2} \cdot 7$ .

Factor $4$ out of $28$ .

$\sqrt{4 (7)}$

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

$\sqrt{2^{2} \cdot 7}$

$\sqrt{2^{2} \cdot 7}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{7}$

Decimal Form:

$5.29150262 \dots$

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