Question

Rationalise the denominator of the following​

Answer 1

2 + √3

Explanation:

Multiply the expression by
`(√(3) +1)/(√(3) +1)` :

`\implies (√(3) +1)/(√(3) -1)*(√(3) +1)/(√(3) +1)=((√(3) +1)^2)/(3+√(3)-√(3)-1)=((√(3) +1)^2)/(2)`

`\implies ((√(3) +1)^2)/(2)=(3+2√(3)+1 )/(2)=(4+2√(3) )/(2)=2+√(3)`