Advertisements
Advertisements
Question
Rationalise the denominator of the following
`(3sqrt2)/sqrt5`
Advertisements
Solution
We know that rationalization factor for `1/sqrta` is `sqrta`. We will multiply numerator and denominator of the given expression `(3sqrt2)/sqrt5` by `sqrt5` to get
`(3sqrt2)/sqrt5 xx sqrt5/sqrt5 = (3sqrt2 xx sqrt5)/(sqrt5 xx sqrt5)`
`= (3sqrt10)/5`
Hence the given expression is simplified to `(3sqrt10)/5`.
APPEARS IN
RELATED QUESTIONS
Rationalise the denominator of the following:
`3/(2sqrt5)`
Express the following with rational denominator:
`1/(2sqrt5 - sqrt3)`
Simplify
`1/(2 + sqrt3) + 2/(sqrt5 - sqrt3) + 1/(2 - sqrt5)`
Write the value of \[\left( 2 + \sqrt{3} \right) \left( 2 - \sqrt{3} \right) .\]
Write the rationalisation factor of \[\sqrt{5} - 2\].
The rationalisation factor of \[\sqrt{3}\] is
Rationalise the denominator of the following:
`16/(sqrt(41) - 5)`
Rationalise the denominator of the following:
`(2 + sqrt(3))/(2 - sqrt(3))`
Rationalise the denominator of the following:
`(3sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3))`
Find the value of `4/((216)^(-2/3)) + 1/((256)^(- 3/4)) + 2/((243)^(- 1/5))`
