Rationalise the denominator of the following

asked Feb 15, 2023 92.3k views

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1 vote

Answer:

2 + √3

Explanation:

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

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

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

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