Write the lowest rationalising factor of √5 - 3.

योग

(√5 - 3)(√5 + 3) = (√5)² - (3)² = 5 - 9 = -4

∴ lowest rationalizing factor is (√5 + 3)

shaalaa.com

Rationalisation of Surds

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

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

अध्याय 1 Rational and Irrational Numbers
Exercise 1 (C) | Q 2.3 | पृष्ठ २१

Rationalize the denominator.

`5/sqrt 7`

Write the simplest form of rationalising factor for the given surd.

`sqrt 27`

Write the lowest rationalising factor of : 7 - √7

Write the lowest rationalising factor of : √13 + 3

If x = 2√3 + 2√2 , find : `( x + 1/x)^2`

Show that :
`1/[ 3 - 2√2] - 1/[ 2√2 - √7 ] + 1/[ √7 - √6 ] - 1/[ √6 - √5 ] + 1/[√5 - 2] = 5`

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(√3 - √2)`

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`

Rationalise the denominator `sqrt(75)/sqrt(18)`

Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`