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प्रश्न
If x = 2√3 + 2√2 , find : `(x + 1/x)`
उत्तर
`x + 1/x = 2sqrt3 + 2sqrt2 + (√3 - √2)/2`
= `2( sqrt3 + sqrt2 ) + (sqrt3 - sqrt2)/2`
= `(4( sqrt3 + sqrt2) + (sqrt3 - sqrt2))/2`
= `[ 4sqrt3 + 4sqrt2 + sqrt3 - sqrt2 ]/2`
= `[ 5sqrt3 + 3sqrt2 ]/2`
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