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प्रश्न
Simplify : `sqrt18/[ 5sqrt18 + 3sqrt72 - 2sqrt162]`
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उत्तर
`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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संबंधित प्रश्न
Rationalize the denominator.
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Simplify by rationalising the denominator in the following.
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Simplify the following
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If x = `(4 - sqrt(15))`, find the values of
`x^3 + (1)/x^3`
If x = `((sqrt(3) + 1))/((sqrt(3) - 1)` and y = `((sqrt(3) - 1))/((sqrt(3) + 1)`, find the values of
x3 + y3
