v75 over 2v18 Multiplying, dividing, simplifying radicals

Question

Multiplying, dividing, simplifying radicals

Answer 1

(√75)/(2√18)

 

= √(25*3) / 2√(9*2)

 

= (5√3) / (6√2)

 

To get the radical out of the denominator, multiply by √2/√2

 

= (5√3)√2 / (6√2)√2

 

= (5√6)/12