Question

Simplify cube root a^4b+cube root ab^4

Answer 1

SOLUTION

TO SIMPLIFY

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

EVALUATION

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

$\sf{ = \sqrt[3]{ {a}^{3} \times a b} + \sqrt[3]{ {b}^{3} \times ab} }$

$\sf{ = a \: \sqrt[3]{ a b} + b \: \sqrt[3]{ ab} }$

$\sf{ = (a + b) \: \sqrt[3]{ a b} }$

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Answer 2

Answer:

a root ab  +b root ab

Step-by-step explanation: