Advertisements
Advertisements
Question
Simplify by rationalising the denominator in the following.
`(3sqrt(2))/sqrt(5)`
Advertisements
Solution
`(3sqrt(2))/sqrt(5)`
= `(3sqrt(2))/sqrt(5) xx sqrt(5)/sqrt(5)`
= `(3sqrt(2) xx sqrt(5))/(sqrt(5))^2`
= `(3sqrt(10))/(5)`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`1/(sqrt 3 - sqrt 2)`
If `sqrt2` = 1.4 and `sqrt3` = 1.7, find the value of `(2 - sqrt3)/(sqrt3).`
Simplify by rationalising the denominator in the following.
`(1)/(5 + sqrt(2))`
Simplify by rationalising the denominator in the following.
`(5)/(sqrt(7) - sqrt(2))`
Simplify by rationalising the denominator in the following.
`(sqrt(15) + 3)/(sqrt(15) - 3)`
Simplify the following
`(3)/(5 - sqrt(3)) + (2)/(5 + sqrt(3)`
In the following, find the values of a and b:
`(1)/(sqrt(5) - sqrt(3)) = "a"sqrt(5) - "b"sqrt(3)`
In the following, find the values of a and b:
`(sqrt(3) - 2)/(sqrt(3) + 2) = "a"sqrt(3) + "b"`
If x = `(4 - sqrt(15))`, find the values of
`x + (1)/x`
If x = `(4 - sqrt(15))`, find the values of
`x^2 + (1)/x^2`
