Evaluate square root of 8* square root of 20

$\sqrt{8} \cdot \sqrt{20}$

Step 1

Combine using the product rule for radicals.

$\sqrt{8 \cdot 20}$

Step 2

Multiply $8$ by $20$ .

$\sqrt{160}$

Step 3

Rewrite $160$ as $4^{2} \cdot 10$ .

Factor $16$ out of $160$ .

$\sqrt{16 (10)}$

Rewrite $16$ as $4^{2}$ .

$\sqrt{4^{2} \cdot 10}$

$\sqrt{4^{2} \cdot 10}$

Step 4

Pull terms out from under the radical.

$4 \sqrt{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$4 \sqrt{10}$

Decimal Form:

$12.64911064 \dots$

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