Advertisements
Advertisements
प्रश्न
Simplify by rationalising the denominator in the following.
`(42)/(2sqrt(3) + 3sqrt(2)`
Advertisements
उत्तर
`(42)/(2sqrt(3) + 3sqrt(2)`
= `(42)/(2sqrt(3) + 3sqrt(2)) xx (2sqrt(3) - 3sqrt(2))/(2sqrt(3) - 3sqrt(2)`
= `(42(2sqrt(3) - 3sqrt(2)))/((2sqrt(3))^2 - (3sqrt(2)^2)`
= `(84sqrt(3) - 126sqrt(2))/(12 - 18)`
= `(84sqrt(3) - 126sqrt(2))/(-6)`
= `-14sqrt(3) + 21sqrt(2)`
= `21sqrt(2) - 14sqrt(3)`
= `7(3sqrt(2) - 2sqrt(3))`
APPEARS IN
संबंधित प्रश्न
Rationalise the denominators of : `1/(sqrt3 - sqrt2 )`
Rationalise the denominators of : `3/[ sqrt5 + sqrt2 ]`
Simplify:
`sqrt2/[sqrt6 - sqrt2] - sqrt3/[sqrt6 + sqrt2]`
Simplify by rationalising the denominator in the following.
`(sqrt(5) - sqrt(7))/sqrt(3)`
Simplify the following :
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2)`
In the following, find the values of a and b:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = "a" + "b"sqrt(3)`
In the following, find the values of a and b:
`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = "a" - "b"sqrt(6)`
If x = `((sqrt(3) + 1))/((sqrt(3) - 1)` and y = `((sqrt(3) - 1))/((sqrt(3) + 1)`, find the values of
x3 + y3
If x = `(1)/((3 - 2sqrt(2))` and y = `(1)/((3 + 2sqrt(2))`, find the values of
x3 + y3
Show that: `x^2 + 1/x^2 = 34,` if x = 3 + `2sqrt2`
