Advertisements
Advertisements
Question
Simplify by rationalising the denominator in the following.
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
Advertisements
Solution
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
= `(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)) xx (sqrt(7) - sqrt(5))/(sqrt(7) - sqrt(5)`
= `(sqrt(7) - sqrt(5))^2/((sqrt(7))^2 - (sqrt(5))^2`
= `(7 + 5 - 2sqrt(35))/(7 - 5)`
= `(12 - 2sqrt(35))/(2)`
= 6 - `sqrt(35)`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`12/(4sqrt3 - sqrt 2)`
Rationalise the denominators of : `(2sqrt3)/sqrt5`
Rationalise the denominators of : `[ sqrt3 - sqrt2 ]/[ sqrt3 + sqrt2 ]`
If `sqrt2` = 1.4 and `sqrt3` = 1.7, find the value of `(2 - sqrt3)/(sqrt3).`
Simplify by rationalising the denominator in the following.
`(1)/(sqrt(3) + sqrt(2))`
Simplify by rationalising the denominator in the following.
`(2)/(3 + sqrt(7)`
Simplify by rationalising the denominator in the following.
`(3sqrt(5) + sqrt(7))/(3sqrt(5) - sqrt(7)`
Simplify the following
`(3)/(5 - sqrt(3)) + (2)/(5 + sqrt(3)`
Simplify the following
`(4 + sqrt(5))/(4 - sqrt(5)) + (4 - sqrt(5))/(4 + sqrt(5)`
If x = `((sqrt(3) + 1))/((sqrt(3) - 1)` and y = `((sqrt(3) - 1))/((sqrt(3) + 1)`, find the values of
x3 + y3
