Evaluate square root of 10* square root of 35

$\sqrt{10} \cdot \sqrt{35}$

Step 1

Combine using the product rule for radicals.

$\sqrt{10 \cdot 35}$

Step 2

Multiply $10$ by $35$ .

$\sqrt{350}$

Step 3

Rewrite $350$ as $5^{2} \cdot 14$ .

Factor $25$ out of $350$ .

$\sqrt{25 (14)}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 14}$

$\sqrt{5^{2} \cdot 14}$

Step 4

Pull terms out from under the radical.

$5 \sqrt{14}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{14}$

Decimal Form:

$18.70828693 \dots$

Related Questions