Advertisements
Advertisements
प्रश्न
Simplify by rationalising the denominator in the following.
`(5)/(sqrt(7) - sqrt(2))`
Advertisements
उत्तर
`(5)/(sqrt(7) - sqrt(2))`
= `(5)/(sqrt(7) - sqrt(2)) xx (sqrt(7) + sqrt(2))/(sqrt(7) + sqrt(2)`
= `(5(sqrt(7) + sqrt(2)))/((sqrt(7))^2 + (sqrt(2))^2)`
= `(5(sqrt(7) + sqrt(2)))/(7 - 2)`
= `(5(sqrt(7) + sqrt(2)))/(5)`
= `sqrt(7) + sqrt(2)`
APPEARS IN
संबंधित प्रश्न
Rationalise the denominators of : `[ 2√5 + 3√2 ]/[ 2√5 - 3√2 ]`
Simplify by rationalising the denominator in the following.
`(5sqrt(3) - sqrt(15))/(5sqrt(3) + sqrt(15)`
Simplify the following
`(4 + sqrt(5))/(4 - sqrt(5)) + (4 - sqrt(5))/(4 + sqrt(5)`
Simplify the following :
`(4sqrt(3))/((2 - sqrt(2))) - (30)/((4sqrt(3) - 3sqrt(2))) - (3sqrt(2))/((3 + 2sqrt(3))`
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^3 + (1)/x^3`.
If x = `(4 - sqrt(15))`, find the values of
`x^3 + (1)/x^3`
If x = `((2 + sqrt(5)))/((2 - sqrt(5))` and y = `((2 - sqrt(5)))/((2 + sqrt(5))`, show that (x2 - y2) = `144sqrt(5)`.
Draw a line segment of length `sqrt5` cm.
Show that: `x^3 + 1/x^3 = 52`, if x = 2 + `sqrt3`
