Question

Simplify the following

Square root 15 / Square root 3

Answer 1

The answer is √5 .

Explanation:

You have to rationalize the fraction in order to get rid of surd in the denorminator by multiplying √3 to both numerator amd denorminator :

`( √(15) )/( √(3) )`

`= ( √(15) )/( √(3) ) * ( √(3) )/( √(3) )`

`= ( √(15) * √(3) )/( √(3) * √(3) )`

`= ( √(45) )/(3)`

`= ( √(9 * 5) )/(3)`

`= (3 √(5) )/(3)`

`= √(5)`