Evaluate square root of 14* square root of 21

$\sqrt{14} \cdot \sqrt{21}$

Step 1

Combine using the product rule for radicals.

$\sqrt{14 \cdot 21}$

Step 2

Multiply $14$ by $21$ .

$\sqrt{294}$

Step 3

Rewrite $294$ as $7^{2} \cdot 6$ .

Factor $49$ out of $294$ .

$\sqrt{49 (6)}$

Rewrite $49$ as $7^{2}$ .

$\sqrt{7^{2} \cdot 6}$

$\sqrt{7^{2} \cdot 6}$

Step 4

Pull terms out from under the radical.

$7 \sqrt{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$7 \sqrt{6}$

Decimal Form:

$17.14642819 \dots$

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