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प्रश्न
Rationalise the denominator of the following:
`2/(3sqrt(3)`
उत्तर
Let `E = 2/(3sqrt(3))`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(3)`,
`E = 2/(3sqrt(3)) xx sqrt(3)/sqrt(3)`
= `(2sqrt(3))/(3 xx 3)`
= `(2sqrt(3))/9`
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संबंधित प्रश्न
Rationalise the denominator of the following
`(sqrt2 + sqrt5)/3`
Find the value to three places of decimals of the following. It is given that
`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`
`3/sqrt10`
Express each one of the following with rational denominator:
`(b^2)/(sqrt(a^2 + b^2) + a)`
Rationales the denominator and simplify:
`(3 - sqrt2)/(3 + sqrt2)`
\[\sqrt[5]{6} \times \sqrt[5]{6}\] is equal to
Simplify the following:
`3/sqrt(8) + 1/sqrt(2)`
Rationalise the denominator of the following:
`(3sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3))`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`(sqrt(10) - sqrt(5))/2`
Simplify:
`(1/27)^((-2)/3)`
Simplify:
`[((625)^(-1/2))^((-1)/4)]^2`
