55.8k views
1 vote
Rationalise the denominator and simplify 6/√3​

User Sederqvist
by
3.8k points

1 Answer

3 votes

⇛2√3.

Explanation:

Given,

6/√3

The denominator is √3.

We know that

The rationalising factor of √a is √a. To rationalise the denominator of 6√√3, we multiply this by √3/√3.

⇛(6/√3)×(√3/√3)

⇛(6√3)/(√3)²

⇛(6√3)/(√3*3)

⇛(6√3)/3

⇛2√3

Hence, the denominator is rationalised.

User Frank Niessink
by
4.8k points