Advertisements
Advertisements
प्रश्न
Simplify by rationalising the denominator in the following.
`(sqrt(5) - sqrt(7))/sqrt(3)`
Advertisements
उत्तर
`(sqrt(5) - sqrt(7))/sqrt(3)`
= `(sqrt(5) - sqrt(7))/sqrt(3) xx sqrt(3)/sqrt(3)`
= `(sqrt(5) xx sqrt(3) - sqrt(7) xx sqrt(3))/(sqrt(3))^2`
= `(sqrt(15) - sqrt(21))/(3)`
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`1/(3 sqrt 5 + 2 sqrt 2)`
Simplify by rationalising the denominator in the following.
`(3sqrt(2))/sqrt(5)`
Simplify by rationalising the denominator in the following.
`(5 + sqrt(6))/(5 - sqrt(6)`
Simplify by rationalising the denominator in the following.
`(sqrt(15) + 3)/(sqrt(15) - 3)`
In the following, find the values of a and b:
`(1)/(sqrt(5) - sqrt(3)) = "a"sqrt(5) - "b"sqrt(3)`
Simplify:
`(sqrt(x^2 + y^2) - y)/(x - sqrt(x^2 - y^2)) ÷ (sqrt(x^2 - y^2) + x)/(sqrt(x^2 + y^2) + y)`
If x = `sqrt3 - sqrt2`, find the value of:
(i) `x + 1/x`
(ii) `x^2 + 1/x^2`
(iii) `x^3 + 1/x^3`
(iv) `x^3 + 1/x^3 - 3(x^2 + 1/x^2) + x + 1/x`
Show that Negative of an irrational number is irrational.
Show that: `x^3 + 1/x^3 = 52`, if x = 2 + `sqrt3`
Show that: `x^2 + 1/x^2 = 34,` if x = 3 + `2sqrt2`
