Simplify the following.
$\sqrt{\frac{100a^6{b}^2}{25x^2}}$

Simplify the following.

$\sqrt{49m^2}$

Simplify the following.

$\sqrt{\frac{9}{x^2}}$

Simplify the following.

${}^4\sqrt{80y^5}$

Simplify the following.

${}^4\sqrt{256a^8{b}^9}$

Use the product rule to multiply the following.

$\sqrt{6}\cdot \sqrt{5}$

Use the product rule to multiply the following.

$\sqrt{5x}\cdot \sqrt{7y}$

Use the product rule to multiply the following.

$\sqrt[4]{7m^2}\cdot \sqrt[4]{2n}$

Use the product rule to multiply the following.

$\sqrt{8}\cdot \sqrt[3]{2}$