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Question
Simplify : `sqrt18/[ 5sqrt18 + 3sqrt72 - 2sqrt162]`
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Solution
`sqrt18/[ 5sqrt18 + 3sqrt72 - 2sqrt162]`
= `sqrt( 9 xx 2 )/[5sqrt( 9 xx 2) + 3sqrt( 36 xx 2 ) - 2sqrt( 81 xx 2 )]`
= `(3sqrt2)/( 15sqrt2 + 18sqrt2 - 18sqrt2 )`
= `(3sqrt2)/( 15sqrt2 )`
= `1/5`
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