Simplify square root of 2* square root of 10

$\sqrt{2} \cdot \sqrt{10}$

Step 1

Combine using the product rule for radicals.

$\sqrt{2 \cdot 10}$

Step 2

Multiply $2$ by $10$ .

$\sqrt{20}$

Step 3

Rewrite $20$ as $2^{2} \cdot 5$ .

Factor $4$ out of $20$ .

$\sqrt{4 (5)}$

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

$\sqrt{2^{2} \cdot 5}$

$\sqrt{2^{2} \cdot 5}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{5}$

Decimal Form:

$4.47213595 \dots$

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