Simplify square root of 2* square root of 10* square root of 5

$\sqrt{2} \cdot \sqrt{10} \cdot \sqrt{5}$

Step 1

Combine using the product rule for radicals.

$\sqrt{2 \cdot 10} \cdot \sqrt{5}$

Step 2

Combine using the product rule for radicals.

$\sqrt{2 \cdot 10 \cdot 5}$

Step 3

Write the expression using exponents.

Multiply $2$ by $10$ .

$\sqrt{20 \cdot 5}$

Multiply $20$ by $5$ .

$\sqrt{100}$

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

$\sqrt{10^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$10$