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प्रश्न
Simplify the following:
`sqrt(24)/8 + sqrt(54)/9`
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उत्तर
`sqrt(24)/8 + sqrt(54)/9 = sqrt(2 xx 2 xx 2 xx 3)/8 + sqrt(3 xx 3 xx 3 xx 2)/9`
= `(2sqrt(6))/8 + (3sqrt(6))/9`
= `sqrt(6)/4 + sqrt(6)/3`
= `(3sqrt(6) + 4sqrt(6))/12`
= `(7sqrt(6))/12`
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संबंधित प्रश्न
Find the value to three places of decimals of the following. It is given that
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`1/(sqrt6 - sqrt5)`
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Simplify: \[\frac{3\sqrt{2} - 2\sqrt{3}}{3\sqrt{2} + 2\sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}\]
Rationalise the denominator of the following:
`1/(sqrt7-sqrt6)`
Rationalise the denominator of the following:
`(4sqrt(3) + 5sqrt(2))/(sqrt(48) + sqrt(18))`
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Simplify:
`(1/27)^((-2)/3)`
