Advertisements
Advertisements
Question
Simplify by rationalising the denominator in the following.
`(7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)`
Advertisements
Solution
`(7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)`
= `(7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)) xx (sqrt(48) - sqrt(18))/(sqrt(48) - sqrt(18)`
= `(7sqrt(144) - 7sqrt(54) - 5sqrt(96) + 5sqrt(36))/((sqrt(48))^2 - (sqrt(18))^2`
= `(84 - 21sqrt(6) - 20sqrt(6) + 30)/(48 - 18)`
= `(144 - 41sqrt(6))/(30)`
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`3/(2 sqrt 5 - 3 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 the following :
`sqrt(6)/(sqrt(2) + sqrt(3)) + (3sqrt(2))/(sqrt(6) + sqrt(3)) - (4sqrt(3))/(sqrt(6) + sqrt(2)`
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:
`(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)`
In the following, find the value of a and b:
`(7 + sqrt(5))/(7 - sqrt(5)) - (7 - sqrt(5))/(7 + sqrt(5)) = "a" + "b"sqrt(5)`
If x = `(7 + 4sqrt(3))`, find the value of
`x^2 + (1)/x^2`
Draw a line segment of length `sqrt3` cm.
