Use the product rule to multiply the following.

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

Use the product rule to rewrite the term inside the radical as a product, then simplify.

$\sqrt{180}$

Use the quotient rule to simplify.

$\sqrt[3]{\frac{t}{8}}$

Simplify the following.

$\sqrt{49m^2}$

Simplify the following.

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

Simplify the following.

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

Simplify the following.

$\sqrt{\frac{100a^6{b}^2}{25x^2}}$

Use the product rule to multiply the following.

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