Advertisements
Advertisements
प्रश्न
Rationalise the denominators of : `1/(sqrt3 - sqrt2 )`
Advertisements
उत्तर
`1/(sqrt3 - sqrt2 ) xx ((sqrt3 + sqrt2)/(sqrt3 + sqrt2)) = sqrt( 3 + sqrt2)/[(sqrt3)^2- (sqrt2)^2] = [sqrt3 + sqrt2]/[ 3 - 2 ]`
= `sqrt3 + sqrt2`
APPEARS IN
संबंधित प्रश्न
Simplify by rationalising the denominator in the following.
`(2sqrt(3) - sqrt(6))/(2sqrt(3) + sqrt(6)`
Simplify the following
`(3)/(5 - sqrt(3)) + (2)/(5 + sqrt(3)`
Simplify the following
`(sqrt(5) - 2)/(sqrt(5) + 2) - (sqrt(5) + 2)/(sqrt(5) - 2)`
Simplify the following :
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2)`
If `(sqrt(2.5) - sqrt(0.75))/(sqrt(2.5) + sqrt(0.75)) = "p" + "q"sqrt(30)`, find the values of p and q.
If x = `(4 - sqrt(15))`, find the values of
`x + (1)/x`
If x = `(4 - sqrt(15))`, find the values of
`x^2 + (1)/x^2`
If x = `(4 - sqrt(15))`, find the values of
`x^3 + (1)/x^3`
Draw a line segment of length `sqrt5` cm.
Show that: `x^2 + 1/x^2 = 34,` if x = 3 + `2sqrt2`
