Simplify square root of 14* square root of 10

$\sqrt{14} \cdot \sqrt{10}$

Step 1

Combine using the product rule for radicals.

$\sqrt{14 \cdot 10}$

Step 2

Multiply $14$ by $10$ .

$\sqrt{140}$

Step 3

Rewrite $140$ as $2^{2} \cdot 35$ .

Factor $4$ out of $140$ .

$\sqrt{4 (35)}$

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

$\sqrt{2^{2} \cdot 35}$

$\sqrt{2^{2} \cdot 35}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{35}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{35}$

Decimal Form:

$11.83215956 \dots$

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