Simplify square root of 640

$\sqrt{640}$

Step 1

Rewrite $640$ as $8^{2} \cdot 10$ .

Factor $64$ out of $640$ .

$\sqrt{64 (10)}$

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2} \cdot 10}$

$\sqrt{8^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$8 \sqrt{10}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{10}$

Decimal Form:

$25.29822128 \dots$

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