Advertisements
Advertisements
Question
Simplify by rationalising the denominator in the following.
`(1)/(sqrt(3) + sqrt(2))`
Advertisements
Solution
`(1)/(sqrt(3) + sqrt(2))`
= `(1)/(sqrt(3) + sqrt(2)) xx (sqrt(3) - sqrt(2))/(sqrt(3) - sqrt(2)`
= `(sqrt(3) - sqrt(2))/((sqrt(3))^2 - (sqrt(2))^2)`
= `(sqrt(3) - sqrt(2))/(3 - 2)`
= `(sqrt(3) - sqrt(2))/(1)`
= `sqrt(3) - sqrt(2)`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`12/(4sqrt3 - sqrt 2)`
Rationalise the denominators of : `(2sqrt3)/sqrt5`
Rationalise the denominators of : `1/(sqrt3 - sqrt2 )`
Rationalise the denominators of : `3/[ sqrt5 + sqrt2 ]`
If `sqrt2` = 1.4 and `sqrt3` = 1.7, find the value of `(2 - sqrt3)/(sqrt3).`
Simplify by rationalising the denominator in the following.
`(3sqrt(2))/sqrt(5)`
Simplify by rationalising the denominator in the following.
`(sqrt(5) - sqrt(7))/sqrt(3)`
Simplify by rationalising the denominator in the following.
`(3 - sqrt(3))/(2 + sqrt(2)`
Simplify by rationalising the denominator in the following.
`(4 + sqrt(8))/(4 - sqrt(8)`
If x = `(7 + 4sqrt(3))`, find the values of :
`(x + (1)/x)^2`
