Advertisements
Advertisements
प्रश्न
Simplify :
` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`
Advertisements
उत्तर
` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`
= `[ 22(2sqrt3 - 1) + 17(2sqrt3 + 1)]/[(2sqrt3 + 1)( 2sqrt3 -1 )]`
= `[ 44sqrt3 - 22 + 34sqrt3 + 17]/[ (2sqrt3)^2 - 1 ]`
=`[ 78sqrt3 - 5]/[ 12 - 1]`
= `[ 78sqrt3 - 5 ]/11`
APPEARS IN
संबंधित प्रश्न
Simplify : `sqrt18/[ 5sqrt18 + 3sqrt72 - 2sqrt162]`
Simplify by rationalising the denominator in the following.
`(42)/(2sqrt(3) + 3sqrt(2)`
Simplify by rationalising the denominator in the following.
`(5 + sqrt(6))/(5 - sqrt(6)`
Simplify by rationalising the denominator in the following.
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
Simplify the following
`(4 + sqrt(5))/(4 - sqrt(5)) + (4 - sqrt(5))/(4 + sqrt(5)`
Simplify the following
`(sqrt(5) - 2)/(sqrt(5) + 2) - (sqrt(5) + 2)/(sqrt(5) - 2)`
Simplify the following :
`sqrt(6)/(sqrt(2) + sqrt(3)) + (3sqrt(2))/(sqrt(6) + sqrt(3)) - (4sqrt(3))/(sqrt(6) + sqrt(2)`
Simplify the following :
`(4sqrt(3))/((2 - sqrt(2))) - (30)/((4sqrt(3) - 3sqrt(2))) - (3sqrt(2))/((3 + 2sqrt(3))`
If x = `(4 - sqrt(15))`, find the values of
`x^2 + (1)/x^2`
If x = `(1)/((3 - 2sqrt(2))` and y = `(1)/((3 + 2sqrt(2))`, find the values of
x2 + y2
