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)

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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

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

`sqrt 32`

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

`3 sqrt 72`

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

`4 sqrt 11`

If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x²

If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find mn

If x = 1 - √2, find the value of `( x - 1/x )^3`

If x = 5 - 2√6, find `x^2 + 1/x^2`

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

Rationalise the denominator and simplify `(5sqrt(3) + sqrt(2))/(sqrt(3) + sqrt(2))`

Rationalise the denominator and simplify `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6))`