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Question
Rationalise the denominators of : `[ 2 - √3 ]/[ 2 + √3 ]`
Solution
`[ 2 - √3 ]/[ 2 + √3 ] xx [ 2 - √3 ]/[ 2 - √3 ]`
= `[( 2 - √3 )^2]/[(2)^2 - (√3)^2] = [ 4 + 3 - 4√3]/[ 4 - 3 ]`
= `[ 7 - 4√3 ]/1`
= 7 - 4√3
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