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.
`(sqrt 5 - sqrt 3)/(sqrt 5 + sqrt 3)`
Simplify by rationalising the denominator in the following.
`(3sqrt(5) + sqrt(7))/(3sqrt(5) - sqrt(7)`
Simplify the following
`(sqrt(5) - 2)/(sqrt(5) + 2) - (sqrt(5) + 2)/(sqrt(5) - 2)`
In the following, find the values of a and b:
`(3 + sqrt(7))/(3 - sqrt(7)) = "a" + "b"sqrt(7)`
In the following, find the values of a and b:
`(sqrt(11) - sqrt(7))/(sqrt(11) + sqrt(7)) = "a" - "b"sqrt(77)`
In the following, find the values of a and b:
`(7sqrt(3) - 5sqrt(2))/(4sqrt(3) + 3sqrt(2)) = "a" - "b"sqrt(6)`
If x = `((sqrt(3) + 1))/((sqrt(3) - 1)` and y = `((sqrt(3) - 1))/((sqrt(3) + 1)`, find the values of
x2 + y2
Evaluate, correct to one place of decimal, the expression `5/(sqrt20 - sqrt10)`, if `sqrt5` = 2.2 and `sqrt10` = 3.2.
Show that Negative of an irrational number is irrational.
Draw a line segment of length `sqrt5` cm.
