Advertisements
Advertisements
प्रश्न
Simplify by rationalising the denominator in the following.
`(sqrt(3) + 1)/(sqrt(3) - 1)`
Advertisements
उत्तर
`(sqrt(3) + 1)/(sqrt(3) - 1)`
= `(sqrt(3) + 1)/(sqrt(3) - 1) xx (sqrt(3) + 1)/(sqrt(3) + 1)`
= `(sqrt(3) + 1)^2/((sqrt(3))^2 - (1)^2)`
= `((sqrt(3))^2 + 2 xx sqrt(3) xx 1 + (1)^2)/(3 - 1)`
= `(3 + 2sqrt(3) + 1)/(2)`
= `(4 + 2sqrt(3))/(2)`
= 2 + `sqrt(3)`
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`1/(sqrt 3 - sqrt 2)`
Rationalise the denominators of : `[ sqrt3 - sqrt2 ]/[ sqrt3 + sqrt2 ]`
Simplify by rationalising the denominator in the following.
`(3 - sqrt(3))/(2 + sqrt(2)`
Simplify by rationalising the denominator in the following.
`(sqrt(7) - sqrt(5))/(sqrt(7) + sqrt(5)`
Simplify by rationalising the denominator in the following.
`(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6)`
If x = `(7 + 4sqrt(3))`, find the values of :
`(x + (1)/x)^2`
If x = `((sqrt(3) + 1))/((sqrt(3) - 1)` and y = `((sqrt(3) - 1))/((sqrt(3) + 1)`, find the values of
x3 + y3
If x = `((sqrt(3) + 1))/((sqrt(3) - 1)` and y = `((sqrt(3) - 1))/((sqrt(3) - 1)`, find the values of
x2 - y2 + xy
Draw a line segment of length `sqrt3` cm.
Show that: `x^2 + 1/x^2 = 34,` if x = 3 + `2sqrt2`
