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प्रश्न
Rationalise the denominator of each of the following
`3/sqrt5`
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उत्तर
We know that rationalization factor for `1/sqrta` is `sqrta` We will multiply numerator and denominator of the given expression `3/sqrt5` by `sqrt5`to get
`3/sqrt5 xx sqrt5/sqrt5 = (3sqrt5)/(sqrt5 xx sqrt5)`
`= (3sqrt5)/5`
Hence the given expression is simplified to `(3sqrt5)/5`
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संबंधित प्रश्न
Rationalise the denominator of the following:
`3/(2sqrt5)`
Rationalise the denominator of the following
`sqrt2/sqrt5`
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`
`2/sqrt3`
Rationales the denominator and simplify:
`(5 + 2sqrt3)/(7 + 4sqrt3)`
In the following determine rational numbers a and b:
`(4 + sqrt2)/(2 + sqrt2) = n - sqrtb`
Simplify `(7 + 3sqrt5)/(3 + sqrt5) - (7 - 3sqrt5)/(3 - sqrt5)`
Classify the following number as rational or irrational:
`(2sqrt7)/(7sqrt7)`
Rationalise the denominator of the following:
`1/(sqrt7-2)`
Find the value of a and b in the following:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(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(2)/(2 + sqrt(2)`
