Advertisements
Advertisements
Question
Rationalise the denominators of : `(2sqrt3)/sqrt5`
Advertisements
Solution
`(2sqrt3)/sqrt5`
`= (2sqrt3)/sqrt5 xx sqrt5/sqrt5`
`= (2 sqrt(3 xx 5))/(sqrt (5 xx 5))`
`= (2 sqrt(15))/sqrt25`
`= (2 sqrt(15))/5`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`(sqrt 5 - sqrt 3)/(sqrt 5 + sqrt 3)`
Simplify:
`sqrt2/[sqrt6 - sqrt2] - sqrt3/[sqrt6 + sqrt2]`
Rationalise the denominator of `1/[ √3 - √2 + 1]`
Simplify : `sqrt18/[ 5sqrt18 + 3sqrt72 - 2sqrt162]`
Simplify by rationalising the denominator in the following.
`(3 - sqrt(3))/(2 + sqrt(2)`
Simplify by rationalising the denominator in the following.
`(sqrt(15) + 3)/(sqrt(15) - 3)`
Simplify by rationalising the denominator in the following.
`(3sqrt(5) + sqrt(7))/(3sqrt(5) - sqrt(7)`
Simplify by rationalising the denominator in the following.
`(5sqrt(3) - sqrt(15))/(5sqrt(3) + sqrt(15)`
Simplify by rationalising the denominator in the following.
`(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6)`
If `(sqrt(2.5) - sqrt(0.75))/(sqrt(2.5) + sqrt(0.75)) = "p" + "q"sqrt(30)`, find the values of p and q.
