Advertisements
Advertisements
प्रश्न
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : y2
Advertisements
उत्तर
y2 = `[( 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
Write the simplest form of rationalising factor for the given surd.
`4 sqrt 11`
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`
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
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find m2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n2
Rationalise the denominator `(3sqrt(5))/sqrt(6)`
Find the value of a and b if `(sqrt(7) - 2)/(sqrt(7) + 2) = asqrt(7) + b`.
