Simplify ( square root of 14)( square root of 2)

$(\sqrt{14}) (\sqrt{2})$

Combine using the product rule for radicals.

$\sqrt{14 \cdot 2}$

Multiply $14$ by $2$ .

$\sqrt{28}$

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

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Factor $4$ out of $28$ .

$\sqrt{4 (7)}$

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

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

Pull terms out from under the radical.

$2 \sqrt{7}$

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{7}$

Decimal Form:

$5.29150262 \dots$

Simplify ( square root of 14)( square root of 2)

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