Evaluate 4 square root of 45

$4 \sqrt{45}$

Step 1

Rewrite $45$ as $3^{2} \cdot 5$ .

Factor $9$ out of $45$ .

$4 \sqrt{9 (5)}$

Rewrite $9$ as $3^{2}$ .

$4 \sqrt{3^{2} \cdot 5}$

$4 \sqrt{3^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$4 (3 \sqrt{5})$

Step 3

Multiply $3$ by $4$ .

$12 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$12 \sqrt{5}$

Decimal Form:

$26.83281572 \dots$

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