Advertisements
Advertisements
प्रश्न
Rationalise the denominator of the following:
`3/(2sqrt5)`
Advertisements
उत्तर
We know that rationalization factor for `1/sqrta`is `sqrta`. We will multiply numerator and denominator of the given expression `3/(2sqrt5)` by `sqrt5`to get
`3/(2sqrt5) xx sqrt5/sqrt5 = (3sqrt5)/(2sqrt5 xx sqrt5)`
`= (3sqrt5)/(2xx5)`
`= (3sqrt5)/10`
Hence the given expression is simplified to `(3sqrt5)/10`
APPEARS IN
संबंधित प्रश्न
Represent `sqrt9.3` on the number line.
Simplify of the following:
`root(4)1250/root(4)2`
Simplify the following expressions:
`(4 + sqrt7)(3 + sqrt2)`
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`
`(sqrt10 + sqrt15)/sqrt2`
`
Express the following with rational denominator:
`(sqrt3 + 1)/(2sqrt2 - sqrt3)`
Express the following with rational denominator:
`(3sqrt2 + 1)/(2sqrt5 - 3)`
Simplify `(3sqrt2 - 2sqrt3)/(3sqrt2 + 2sqrt3) + sqrt12/(sqrt3 - sqrt2)`
Simplify \[\sqrt{3 - 2\sqrt{2}}\].
Simplify the following expression:
`(sqrt5-sqrt2)(sqrt5+sqrt2)`
Find the value of a and b in the following:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(3)`
