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 by rationalising the denominator in the following.
`(3sqrt(5) + sqrt(7))/(3sqrt(5) - sqrt(7)`
Simplify by rationalising the denominator in the following.
`(5sqrt(3) - sqrt(15))/(5sqrt(3) + sqrt(15)`
Simplify by rationalising the denominator in the following.
`(7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)`
Simplify the following :
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2)`
Simplify the following :
`(4sqrt(3))/((2 - sqrt(2))) - (30)/((4sqrt(3) - 3sqrt(2))) - (3sqrt(2))/((3 + 2sqrt(3))`
In the following, find the values of a and b:
`(3 + sqrt(7))/(3 - sqrt(7)) = "a" + "b"sqrt(7)`
In the following, find the values of a and b:
`(sqrt(11) - sqrt(7))/(sqrt(11) + sqrt(7)) = "a" - "b"sqrt(77)`
In the following, find the value of a and b:
`(sqrt(3) - 1)/(sqrt(3) + 1) + (sqrt(3) + 1)/(sqrt(3) - 1) = "a" + "b"sqrt(3)`
If x = `(4 - sqrt(15))`, find the values of
`x + (1)/x`
If x = `(4 - sqrt(15))`, find the values of
`x^3 + (1)/x^3`
