Advertisements
Advertisements
Question
Simplify by rationalising the denominator in the following.
`(1)/(5 + sqrt(2))`
Advertisements
Solution
`(1)/(5 + sqrt(2))`
= `(1)/(5 + sqrt(2)) xx (5 - sqrt(2))/(5 - sqrt(2)`
= `(5 - sqrt(2))/((5)^2 - (sqrt(2))^2)`
= `(5 - sqrt(2))/(25 - 2)`
= `(5 - sqrt(2))/(23)`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`12/(4sqrt3 - sqrt 2)`
Rationalise the denominators of : `3/sqrt5`
Simplify by rationalising the denominator in the following.
`(3 - sqrt(3))/(2 + sqrt(2)`
Simplify by rationalising the denominator in the following.
`(5 + sqrt(6))/(5 - sqrt(6)`
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 the following
`(4 + sqrt(5))/(4 - sqrt(5)) + (4 - sqrt(5))/(4 + sqrt(5)`
Simplify the following :
`(4sqrt(3))/((2 - sqrt(2))) - (30)/((4sqrt(3) - 3sqrt(2))) - (3sqrt(2))/((3 + 2sqrt(3))`
If `(sqrt(2.5) - sqrt(0.75))/(sqrt(2.5) + sqrt(0.75)) = "p" + "q"sqrt(30)`, find the values of p and q.
In the following, find the values of a and b:
`(7sqrt(3) - 5sqrt(2))/(4sqrt(3) + 3sqrt(2)) = "a" - "b"sqrt(6)`
