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Question
Rationalise the denominators of : `[ √3 + 1 ]/[ √3 - 1 ]`
Solution
= `[ √3 + 1 ]/[ √3 - 1 ] xx [ √3 + 1 ]/[ √3 + 1 ]`
= `[( √3 + 1 )^2]/[( √3 )^2 - (1)^2 ]`
= `[ 3 + 1 + 2√3 ]/[ 3 - 1]`
= `[ 4 + 2√3 ]/[2]`
= `[ 2( 2 + √3 )]/[ 2 ]`
= 2 + √3
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