Simplify square root of 128x^1*5

$\sqrt{128 x^{1} \cdot 5}$

Multiply $5$ by $128$ .

$\sqrt{640 x^{1}}$

Simplify.

$\sqrt{640 x}$

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

Factor $64$ out of $640$ .

$\sqrt{64 (10) x}$

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

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

Add parentheses.

$\sqrt{8^{2} \cdot (10 x)}$

$\sqrt{8^{2} \cdot (10 x)}$

Pull terms out from under the radical.

$8 \sqrt{10 x}$

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