Advertisements
Advertisements
प्रश्न
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x2
Advertisements
उत्तर
x2 = `[( sqrt5 - 2 )/( sqrt5 + 2 )]^2 = [ 5 + 4 - 4sqrt5 ]/[ 5 + 4 + 4sqrt5] = [ 9 - 4sqrt5 ]/[ 9 + 4sqrt5 ]`
= `[ 9 - 4sqrt5 ]/[ 9 + 4sqrt5 ] xx [( 9 - 4sqrt5 )/( 9 - 4sqrt5 )] = (9 - 4sqrt5)^2/[(9)^2 - (4sqrt5)^2]`
= `[ 81 + 80 - 72sqrt5]/[ 81 - 80 ] = 161 - 72sqrt5 `
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`3 /sqrt5`
Rationalize the denominator.
`6/(9sqrt 3)`
Write the lowest rationalising factor of : 7 - √7
Write the lowest rationalising factor of : √13 + 3
Write the lowest rationalising factor of 15 – 3√2.
Find the values of 'a' and 'b' in each of the following :
`[2 + sqrt3]/[ 2 - sqrt3 ] = a + bsqrt3`
If `[ 2 + sqrt5 ]/[ 2 - sqrt5] = x and [2 - sqrt5 ]/[ 2 + sqrt5] = y`; find the value of x2 - y2.
Rationalise the denominator and simplify `sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2)`
If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`
Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).
