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प्रश्न
Rationalise the denominator of the following
`sqrt2/sqrt5`
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उत्तर
We know that rationalization factor for `1/sqrta ` is `sqrta`. We willmultiply numerator and denominator of the given expression `sqrt2/sqrt5` by `sqrt5`, to get
`sqrt2/sqrt5 xx sqrt5/sqrt5 = (sqrt2 xx sqrt5)/(sqrt5 xx sqrt5)`
`= sqrt10/5`
Hence the given expression is simplified to `sqrt10/5`
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संबंधित प्रश्न
Rationalise the denominator of the following:
`1/sqrt7`
Simplify the following expressions:
`(3 + sqrt3)(5 - sqrt2)`
Express the following with rational denominator:
`(sqrt3 + 1)/(2sqrt2 - sqrt3)`
Express the following with rational denominator:
`(3sqrt2 + 1)/(2sqrt5 - 3)`
Find the values the following correct to three places of decimals, it being given that `sqrt2 = 1.4142`, `sqrt3 = 1.732`, `sqrt5 = 2.2360`, `sqrt6 = 2.4495` and `sqrt10 = 3.162`
`(1 + sqrt2)/(3 - 2sqrt2)`
\[\sqrt{10} \times \sqrt{15}\] is equal to
\[\sqrt[5]{6} \times \sqrt[5]{6}\] is equal to
Classify the following number as rational or irrational:
`(2sqrt7)/(7sqrt7)`
Rationalise the denominator of the following:
`(2 + sqrt(3))/(2 - 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.
`1/(sqrt(3) + sqrt(2))`
