Simplify square root of 72*0.2

$\sqrt{72} \cdot 0.2$

Step 1

Rewrite $72$ as $6^{2} \cdot 2$ .

Factor $36$ out of $72$ .

$\sqrt{36 (2)} \cdot 0.2$

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2} \cdot 2} \cdot 0.2$

$\sqrt{6^{2} \cdot 2} \cdot 0.2$

Step 2

Pull terms out from under the radical.

$6 \sqrt{2} \cdot 0.2$

Step 3

Multiply $6 \sqrt{2} \cdot 0.2$ .

Multiply $0.2$ by $6$ .

$1.2 \sqrt{2}$

Multiply $1.2$ by $\sqrt{2}$ .

$1.69705627$

$1.69705627$

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