Advertisements
Advertisements
Question
Rationalise the denominator of the following
`(sqrt2 + sqrt5)/3`
Advertisements
Solution
We know that rationalization factor for `1/sqrta` is `sqrta`. We will multiply numerator and denominator of the given expression `(sqrt2 + sqrt5)/sqrt3` by `sqrt3` to get
`(sqrt2 + sqrt5)/sqrt3 " by " sqrt3` to get
`(sqrt2 + sqrt5)/sqrt3 xx sqrt3/sqrt3 = (sqrt2 xx sqrt3 + sqrt5 xx sqrt3)/(sqrt3 xx sqrt3)`
`= (sqrt6 + sqrt15)/3`
Hence the given expression is simplified to `(sqrt6 +sqrt15)/3`
APPEARS IN
RELATED QUESTIONS
Rationalise the denominator of the following:
`1/sqrt7`
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`
Rationales the denominator and simplify:
`(2sqrt6 - sqrt5)/(3sqrt5 - 2sqrt6)`
Rationales the denominator and simplify:
`(2sqrt3 - sqrt5)/(2sqrt2 + 3sqrt3)`
If \[a = \sqrt{2} + 1\],then find the value of \[a - \frac{1}{a}\].
If \[x = 3 + 2\sqrt{2}\],then find the value of \[\sqrt{x} - \frac{1}{\sqrt{x}}\].
Classify the following number as rational or irrational:
`(3 + sqrt23) - sqrt23`
Classify the following number as rational or irrational:
`1/sqrt2`
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.
If `x = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))` and `y = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2))`, then find the value of x2 + y2.
