Advertisements
Advertisements
प्रश्न
Simplify the following
`(3)/(5 - sqrt(3)) + (2)/(5 + sqrt(3)`
Advertisements
उत्तर
`(3)/(5 - sqrt(3)) + (2)/(5 + sqrt(3)`
= `(3(5 + sqrt(3)) + 2(5 - sqrt(3)))/((5 - sqrt(3))(5 + sqrt(3))`
= `(15 + 3sqrt(3) + 10 - 2sqrt(3))/((5)^2 - (sqrt(3))^2`
= `(25 + sqrt(3))/(25 - 3)`
= `(25 + sqrt(3))/(22)`
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`1/(sqrt 7 + sqrt 2)`
Rationalize the denominator.
`1/sqrt5`
Simplify:
`sqrt2/[sqrt6 - sqrt2] - sqrt3/[sqrt6 + sqrt2]`
Simplify by rationalising the denominator in the following.
`(2)/(3 + sqrt(7)`
Simplify by rationalising the denominator in the following.
`(5)/(sqrt(7) - sqrt(2))`
Simplify by rationalising the denominator in the following.
`(42)/(2sqrt(3) + 3sqrt(2)`
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)`
If x = `((sqrt(3) + 1))/((sqrt(3) - 1)` and y = `((sqrt(3) - 1))/((sqrt(3) - 1)`, find the values of
x2 - y2 + xy
Show that: `x^2 + 1/x^2 = 34,` if x = 3 + `2sqrt2`
