Advertisements
Advertisements
प्रश्न
Simplify by rationalising the denominator in the following.
`(4 + sqrt(8))/(4 - sqrt(8)`
उत्तर
`(4 + sqrt(8))/(4 - sqrt(8)`
= `(4 + sqrt(8))/(4 - sqrt(8)) xx (4 + sqrt(8))/(4 + sqrt(8)`
= `((4 + sqrt(8))^2)/((4)^2 - (sqrt(8))^2`
= `(16 + 8 + 8sqrt(8))/(16 - 18)`
= `(24 + 8sqrt(8))/(8)`
= 3 + `sqrt(8)`
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`1/(sqrt 7 + sqrt 2)`
Rationalise the denominators of : `3/sqrt5`
Rationalise the denominators of : `[ √3 + 1 ]/[ √3 - 1 ]`
Simplify by rationalising the denominator in the following.
`(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6)`
Simplify the following :
`(3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) + (2sqrt(3))/(sqrt(6) + 2)`
In the following, find the values of a and b:
`(sqrt(3) - 2)/(sqrt(3) + 2) = "a"sqrt(3) + "b"`
If x = `(7 + 4sqrt(3))`, find the value of
`x^2 + (1)/x^2`
If x = `(4 - sqrt(15))`, find the values of
`x + (1)/x`
If x = `(1)/((3 - 2sqrt(2))` and y = `(1)/((3 + 2sqrt(2))`, find the values of
x2 + y2
Draw a line segment of length `sqrt5` cm.
