Advertisements
Advertisements
प्रश्न
Rationalise the denominator and simplify `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6))`
Advertisements
उत्तर
`(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6)) = ((2sqrt(6) - sqrt(5))(3sqrt(5) + 2sqrt(6)))/((3sqrt(5) - 2sqrt(6))(3sqrt(5) + 2sqrt(6))`
= `(6sqrt(6 xx 5) + 4 xx sqrt(6 xx 6) - sqrt(5) xx 3sqrt(5) - 2 xx sqrt(5 xx 6))/((3sqrt(5))^2 - (2sqrt(6))^2`
= `(6sqrt(30) + 4 xx 6 - 3 xx 5 - 2sqrt(30))/(45 - 24)`
= `(sqrt(30)(6 - 2) + 24 - 15)/21`
= `(9 + 4sqrt(30))/21`
APPEARS IN
संबंधित प्रश्न
Write the lowest rationalising factor of 15 – 3√2.
Find the values of 'a' and 'b' in each of the following:
`3/[ sqrt3 - sqrt2 ] = asqrt3 - bsqrt2`
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2]`; find:
x2 + y2 + xy.
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find mn
If x = 2√3 + 2√2, find: `(x + 1/x)`
If x = 2√3 + 2√2 , find : `( x + 1/x)^2`
Rationalise the denominator `5/(3sqrt(5))`
Rationalise the denominator `(3sqrt(5))/sqrt(6)`
Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`
Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).
