Rationalise the Denominators of : 3/Sqrt5 - Mathematics

Rationalise the denominators of : `3/sqrt5`

बेरीज

`3/sqrt5 xx sqrt5/sqrt5 = (3sqrt5)/5`

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Simplifying an Expression by Rationalization of the Denominator

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पाठ 1: Rational and Irrational Numbers - Exercise 1 (C) [पृष्ठ २१]

पाठ 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 3.1 | पृष्ठ २१

Simplify by rationalising the denominator in the following.

`(4 + sqrt(8))/(4 - sqrt(8)`

Simplify the following

`(4 + sqrt(5))/(4 - sqrt(5)) + (4 - sqrt(5))/(4 + sqrt(5)`

In the following, find the values of a and b:

`(sqrt(3) - 2)/(sqrt(3) + 2) = "a"sqrt(3) + "b"`

If x = `(7 + 4sqrt(3))`, find the values of

`x^3 + (1)/x^3`

If x = `((2 + sqrt(5)))/((2 - sqrt(5))` and y = `((2 - sqrt(5)))/((2 + sqrt(5))`, show that (x² - y²) = `144sqrt(5)`.

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

x³ + y³

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)`

Draw a line segment of length `sqrt3` cm.

Using the following figure, show that BD = `sqrtx`.