Advertisements
Advertisements
प्रश्न
Rationalize the denominator.
`12/(4sqrt3 - sqrt 2)`
Advertisements
उत्तर
`12/(4sqrt3 - sqrt 2)`
`= 12/(4sqrt3 - sqrt 2) xx (4sqrt3 + sqrt 2)/(4sqrt3 + sqrt 2)`
`= (12 (4sqrt3 + sqrt 2))/((4sqrt3)^2 -(sqrt 2)^2) ...[(a+b)(a-b) = a^2 - b^2]`
`=(12 (4sqrt3 + sqrt 2))/(48 - 2)`
`= (12 (4sqrt3 + sqrt 2))/46`
`= (6 (4sqrt3 + sqrt 2))/23`
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`4/(7+ 4 sqrt3)`
Rationalize the denominator.
`(sqrt 5 - sqrt 3)/(sqrt 5 + sqrt 3)`
Simplify by rationalising the denominator in the following.
`(1)/(5 + sqrt(2))`
Simplify by rationalising the denominator in the following.
`(1)/(sqrt(3) + sqrt(2))`
Simplify by rationalising the denominator in the following.
`(5)/(sqrt(7) - sqrt(2))`
Simplify by rationalising the denominator in the following.
`(42)/(2sqrt(3) + 3sqrt(2)`
Simplify by rationalising the denominator in the following.
`(sqrt(3) + 1)/(sqrt(3) - 1)`
Simplify by rationalising the denominator in the following.
`(sqrt(5) - sqrt(7))/sqrt(3)`
Simplify by rationalising the denominator in the following.
`(7sqrt(3) - 5sqrt(2))/(sqrt(48) + sqrt(18)`
Simplify the following :
`sqrt(6)/(sqrt(2) + sqrt(3)) + (3sqrt(2))/(sqrt(6) + sqrt(3)) - (4sqrt(3))/(sqrt(6) + sqrt(2)`
Simplify the following :
`(3sqrt(2))/(sqrt(6) - sqrt(3)) - (4sqrt(3))/(sqrt(6) - sqrt(2)) + (2sqrt(3))/(sqrt(6) + 2)`
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 = `((sqrt(3) + 1))/((sqrt(3) - 1)` and y = `((sqrt(3) - 1))/((sqrt(3) + 1)`, find the values of
x2 + y2
If x = `(1)/((3 - 2sqrt(2))` and y = `(1)/((3 + 2sqrt(2))`, find the values of
x2 + y2
Evaluate, correct to one place of decimal, the expression `5/(sqrt20 - sqrt10)`, if `sqrt5` = 2.2 and `sqrt10` = 3.2.
Show that: `x^3 + 1/x^3 = 52`, if x = 2 + `sqrt3`
Using the following figure, show that BD = `sqrtx`.
