Advertisements
Advertisements
प्रश्न
Rationalise the denominator of the following
`sqrt2/sqrt5`
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`
APPEARS IN
संबंधित प्रश्न
Rationalise the denominator of the following
`(sqrt3 + 1)/sqrt2`
Rationalise the denominator of the following
`(sqrt2 + sqrt5)/3`
Rationales the denominator and simplify:
`(1 + sqrt2)/(3 - 2sqrt2)`
The rationalisation factor of \[\sqrt{3}\] is
The rationalisation factor of \[2 + \sqrt{3}\] is
If x = \[\sqrt{5} + 2\],then \[x - \frac{1}{x}\] equals
Rationalise the denominator of the following:
`16/(sqrt(41) - 5)`
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
Find the value of a and b in the following:
`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = 2 - bsqrt(6)`
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.
`4/sqrt(3)`
