divide radicals

Question

square root of 3a¹¹b¹⁰  divided by square root of 108ab¹⁰

Answer 1

Since the √a/√b = √(a/b) we have:

 

√(3a¹¹b¹⁰)/√(108ab¹⁰)

 

= √[(3a¹¹b¹⁰)/(108ab¹⁰)]

 

= √(a¹⁰/36)

 

= a⁵/6

 

 

Answer 2

√(3a¹¹b¹⁰)/ √(108ab¹⁰)              law of division of radical

√[(3a¹¹b¹⁰) / (108ab¹⁰)]             reduce

√(a/36) 

√a / 6