Advertisements
Advertisements
Question
Simplify by rationalising the denominator in the following.
`(sqrt(15) + 3)/(sqrt(15) - 3)`
Advertisements
Solution
`(sqrt(15) + 3)/(sqrt(15) - 3)`
= `(sqrt(15) + 3)/(sqrt(15) - 3) xx (sqrt(15) + 3)/(sqrt(15) + 3)`
= `(sqrt(15) + 3)^2/((sqrt(15))^2 - (3)^2`
= `(15 + 9 + 6sqrt(15))/(15 - 9)`
= `(24 + 6sqrt(15))/(6)`
= 4 + `sqrt(15)`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`4/(7+ 4 sqrt3)`
Rationalise the denominators of:
`[sqrt6 - sqrt5]/[sqrt6 + sqrt5]`
Simplify by rationalising the denominator in the following.
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
Simplify the following
`(sqrt(7) - sqrt(3))/(sqrt(7) + sqrt(3)) - (sqrt(7) + sqrt(3))/(sqrt(7) - sqrt(3)`
Simplify the following
`(sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) + (sqrt(5) - sqrt(3))/(sqrt(5) + sqrt(3)`
Simplify the following :
`sqrt(6)/(sqrt(2) + sqrt(3)) + (3sqrt(2))/(sqrt(6) + sqrt(3)) - (4sqrt(3))/(sqrt(6) + sqrt(2)`
If x = `(7 + 4sqrt(3))`, find the value of
`sqrt(x) + (1)/(sqrt(x)`
If x = `(4 - sqrt(15))`, find the values of
`x^2 + (1)/x^2`
If x = `(4 - sqrt(15))`, find the values of
`x^3 + (1)/x^3`
If x = `(4 - sqrt(15))`, find the values of:
`(x + (1)/x)^2`
