Advertisements
Advertisements
प्रश्न
Simplify the following
`(sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) + (sqrt(5) - sqrt(3))/(sqrt(5) + sqrt(3)`
Advertisements
उत्तर
`(sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3)) + (sqrt(5) - sqrt(3))/(sqrt(5) + sqrt(3)`
= `((sqrt(5) + sqrt(3))^2 + (sqrt(5) - sqrt(3))^2)/((sqrt(5) - sqrt(3))(sqrt(5) + sqrt(3))`
= `(5 + 3 + sqrt(15) + 5 + 3 - sqrt(15))/(5 - 3)`
= `(16)/(2)`
= 8
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`4/(7+ 4 sqrt3)`
Rationalise the denominators of : `[ √3 + 1 ]/[ √3 - 1 ]`
Simplify : `sqrt18/[ 5sqrt18 + 3sqrt72 - 2sqrt162]`
Simplify the following :
`sqrt(6)/(sqrt(2) + sqrt(3)) + (3sqrt(2))/(sqrt(6) + sqrt(3)) - (4sqrt(3))/(sqrt(6) + sqrt(2)`
In the following, find the values of a and b.
`(sqrt(3) - 1)/(sqrt(3) + 1) = "a" + "b"sqrt(3)`
In the following, find the values of a and b:
`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = "a" - "b"sqrt(6)`
If x = `(4 - sqrt(15))`, find the values of
`x^2 + (1)/x^2`
Draw a line segment of length `sqrt5` cm.
Draw a line segment of length `sqrt3` cm.
Show that: `x^3 + 1/x^3 = 52`, if x = 2 + `sqrt3`
