Advertisements
Advertisements
प्रश्न
Simplify by rationalising the denominator in the following.
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
Advertisements
उत्तर
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
= `(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)) xx (sqrt(7) - sqrt(5))/(sqrt(7) - sqrt(5)`
= `(sqrt(7) - sqrt(5))^2/((sqrt(7))^2 - (sqrt(5))^2`
= `(7 + 5 - 2sqrt(35))/(7 - 5)`
= `(12 - 2sqrt(35))/(2)`
= 6 - `sqrt(35)`
APPEARS IN
संबंधित प्रश्न
Rationalise the denominators of : `3/sqrt5`
Rationalise the denominators of : `[ √3 + 1 ]/[ √3 - 1 ]`
Rationalise the denominators of:
`[sqrt6 - sqrt5]/[sqrt6 + sqrt5]`
Simplify :
` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`
Simplify by rationalising the denominator in the following.
`(sqrt(5) - sqrt(7))/sqrt(3)`
Simplify the following :
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2)`
In the following, find the values of a and b.
`(sqrt(3) - 1)/(sqrt(3) + 1) = "a" + "b"sqrt(3)`
Evaluate, correct to one place of decimal, the expression `5/(sqrt20 - sqrt10)`, if `sqrt5` = 2.2 and `sqrt10` = 3.2.
Show that Negative of an irrational number is irrational.
Draw a line segment of length `sqrt5` cm.
