Simplify - square root of 1500

$- \sqrt{1500}$

Step 1

Rewrite $1500$ as $10^{2} \cdot 15$ .

Factor $100$ out of $1500$ .

$- \sqrt{100 (15)}$

Rewrite $100$ as $10^{2}$ .

$- \sqrt{10^{2} \cdot 15}$

$- \sqrt{10^{2} \cdot 15}$

Step 2

Pull terms out from under the radical.

$- (10 \sqrt{15})$

Step 3

Multiply $10$ by $- 1$ .

$- 10 \sqrt{15}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 10 \sqrt{15}$

Decimal Form:

$- 38.72983346 \dots$

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