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Question
Rationalise the denominators of : `[sqrt6 - sqrt5]/[sqrt6 + sqrt5]`
Solution
`[sqrt6 - sqrt5]/[sqrt6 + sqrt5] xx [sqrt6 - sqrt5]/[sqrt6 - sqrt5]`
= `[ 6 + 5 - 2√30 ]/[ (√6)^2 - (√5)^2]`
= `[ 11 - 2√30 ]/[ 6 - 5 ]`
= 11 - 2√30
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