Advertisements
Advertisements
प्रश्न
Rationalise the denominator and simplify `sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2)`
Advertisements
उत्तर
`sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2) = sqrt(5)(1/(sqrt(6) + 2) - 1/(sqrt(6) - 2))`
= `sqrt(5)[(sqrt(6) - 2 - (sqrt(6) + 2))/((sqrt(6) + 2)(sqrt(6) - 2))]`
= `sqrt(5)[(sqrt(6) - 2 - sqrt(6) - 2)/((sqrt(6))^2 - 2^2)]`
= `sqrt(5)((-4)/(6 - 4))`
= `sqrt(5)((-4)/2)`
= `sqrt(5) xx -2`
= `-2 sqrt(5)`
APPEARS IN
संबंधित प्रश्न
Write the lowest rationalising factor of √5 - 3.
Write the lowest rationalising factor of : √5 - √2
Write the lowest rationalising factor of 15 – 3√2.
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 n2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find mn
If x = 2√3 + 2√2 , find : `( x + 1/x)^2`
Rationalise the denominator `1/sqrt(50)`
Rationalise the denominator `sqrt(75)/sqrt(18)`
Rationalise the denominator `(3sqrt(5))/sqrt(6)`
