Question

√3 /√6 rationalise denominator and simplify

Answer 1

⇛√2/2.

Explanation:

Given that,

√3/√6

The denominator is √6

We know that

The rationalising factor of √a is √a

Therefore, the rationalising factor of √6 is '√6’.

Now,

⇛(√3/6) × (√6/√6)

⇛{√3(√6)}/(√6)(√6)

⇛(√3*6)/(√6)²

⇛(√18)/(6)

⇛(√2*9)/6

⇛(2√2)/6

⇛√2/2

Hence, the denominator is rationalised.

Answer 2

`( √(2) )/(2) \\`

Explanation:

`( √(3) )/( √(6) ) \\ ( √(3) )/( √(6) ) * ( √(6) )/( √(6) ) \\ \frac{ √(3 * 6) }{ \sqrt{ {6}^(2) } } \\ ( √(18) )/(6) \\ ( √(2 * 9) )/(6) \\ (3 √(2) )/(6) \\ ( √(2) )/(2)`