Advertisements
Advertisements
प्रश्न
Simplify by rationalising the denominator in the following.
`(5 + sqrt(6))/(5 - sqrt(6)`
Advertisements
उत्तर
`(5 + sqrt(6))/(5 - sqrt(6)`
= `(5 + sqrt(6))/(5 - sqrt(6)) xx (5 + sqrt(6))/(5 + sqrt(6)`
= `((5 + sqrt(6))^2)/((5)^2 - (sqrt(6))^2`
= `(25 + 6 + 10sqrt(6))/(25 - 6)`
= `(31 + 10sqrt(6))/(19)`
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`4/(7+ 4 sqrt3)`
Rationalize the denominator.
`1/(sqrt 3 - sqrt 2)`
Rationalise the denominators of : `1/(sqrt3 - sqrt2 )`
Simplify :
` 22/[2sqrt3 + 1] + 17/[ 2sqrt3 - 1]`
Simplify by rationalising the denominator in the following.
`(42)/(2sqrt(3) + 3sqrt(2)`
Simplify by rationalising the denominator in the following.
`(3sqrt(5) + sqrt(7))/(3sqrt(5) - sqrt(7)`
Simplify the following
`(sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) + (sqrt(5) - sqrt(3))/(sqrt(5) + sqrt(3)`
If x = `((2 + sqrt(5)))/((2 - sqrt(5))` and y = `((2 - sqrt(5)))/((2 + sqrt(5))`, show that (x2 - y2) = `144sqrt(5)`.
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.
