Evaluate square root of 5* square root of 60

$\sqrt{5} \cdot \sqrt{60}$

Step 1

Combine using the product rule for radicals.

$\sqrt{5 \cdot 60}$

Step 2

Multiply $5$ by $60$ .

$\sqrt{300}$

Step 3

Rewrite $300$ as $10^{2} \cdot 3$ .

Factor $100$ out of $300$ .

$\sqrt{100 (3)}$

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

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

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

Step 4

Pull terms out from under the radical.

$10 \sqrt{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{3}$

Decimal Form:

$17.32050807 \dots$

Related Questions