Question

Simplify each expression as much as possible, and rationalize denominators when applicable. . √36/√18= ?

Answer 1

√2

Explanation:

Solving the given expression step by step:

`(√(36) )/(√(18) ) = (6)/(3√(2) )\ \ \ [\because √(36) = 6 \ and \ √(18) = 3√(2)] \\ = (3 * 2)/(3√(2) ) = ( 2)/(√(2) )= √(2)`

We rationalize denominator and change it into a simpler form as soon as possible.