Simplify cube root of 64(a+b)^3

$\sqrt[3]{64 {(a + b)}^{3}}$

Step 1

Rewrite $64 {(a + b)}^{3}$ as ${(4 (a + b))}^{3}$ .

$\sqrt[3]{{(4 (a + b))}^{3}}$

Step 2

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

$4 (a + b)$

Step 3

Apply the distributive property.

$4 a + 4 b$

Related Questions