Which is equal to

Question

Which is equal to 3√54 - 4√24?

 

A. -√6

B.√6

C.11√6

D.-11√6

Answer 1

3√54 - 4√24

 

= 3√(9*6) - 4√(4*6)

 

= 3*3√6 - 4*2√6                     {√9 = 3, √4 = 2}

 

= 9√6 - 8√6

 

= √6