Simplify square root of 64+ cube root of 8

$\sqrt{64} + \sqrt[3]{8}$

Simplify each term.

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2}} + \sqrt[3]{8}$

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

$8 + \sqrt[3]{8}$

Rewrite $8$ as $2^{3}$ .

$8 + \sqrt[3]{2^{3}}$

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

$8 + 2$

Add $8$ and $2$ .

$10$