Simplify 3 square root of 40

$3 \sqrt{40}$

Step 1

Rewrite $40$ as $2^{2} \cdot 10$ .

Factor $4$ out of $40$ .

$3 \sqrt{4 (10)}$

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

$3 \sqrt{2^{2} \cdot 10}$

$3 \sqrt{2^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

$3 (2 \sqrt{10})$

Step 3

Multiply $2$ by $3$ .

$6 \sqrt{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{10}$

Decimal Form:

$18.97366596 \dots$

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