Question

Rationalise the denominator (with steps pls)

$\frac{ \sqrt{3} - 2 }{ \sqrt{3} + 2 }$
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Answer 1

Step-by-step explanation:

(√3 -2)/(√3+2) is the question

To rationalize first multiply the denominator with opp. signs in numerator and denominator

i.e. (√3 -2)(√3-2)/(√3+2)(√3-2)

i.e( 3 - 2√3-2√3 +4). / √3^2 -2^2

i.e. 7 -4√3 / 3-4

i.e. 7 -4√3 / -1

This can be written as 4√3 -7 / 1

Therefore the answer is 4√3 -7 / 1