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
Rationalize the denominator.
`1/(3 sqrt 5 + 2 sqrt 2)`
Simplify by rationalising the denominator in the following.
`(2sqrt(3) - sqrt(6))/(2sqrt(3) + sqrt(6)`
Simplify by rationalising the denominator in the following.
`(7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)`
Simplify by rationalising the denominator in the following.
`(sqrt(12) + sqrt(18))/(sqrt(75) - sqrt(50)`
Simplify the following :
`(6)/(2sqrt(3) - sqrt(6)) + sqrt(6)/(sqrt(3) + sqrt(2)) - (4sqrt(3))/(sqrt(6) - sqrt(2)`
In the following, find the value of a and b:
`(7 + sqrt(5))/(7 - sqrt(5)) - (7 - sqrt(5))/(7 + sqrt(5)) = "a" + "b"sqrt(5)`
If x = `(7 + 4sqrt(3))`, find the value of
`x^2 + (1)/x^2`
If x = `((sqrt(3) + 1))/((sqrt(3) - 1)` and y = `((sqrt(3) - 1))/((sqrt(3) + 1)`, find the values of
x2 + y2
Evaluate, correct to one place of decimal, the expression `5/(sqrt20 - sqrt10)`, if `sqrt5` = 2.2 and `sqrt10` = 3.2.
Draw a line segment of length `sqrt3` cm.
