simplest form of expression

Question

What is the simplest form of the expression?
∛108 + ∛1372 - ∛500

 

 

 

 

	A. 4.2∛4
	B. 16∛4
	C. 5∛4
	D. 15∛4

 

Answer 1

∛108 + ∛1372 - ∛500

Write the factorization of each number

108= 4*3*3*3 =4*3³

1372=4*7*7*7= 7³*4

500=4*5*5*5=5³*4

∛108 + ∛1372 - ∛500

=∛(4*3³ )+ ∛(7³*4) - ∛(5³*4)

=3∛4+7∛4-5∛4

=5∛4

Therefore,Option C is correct