Question

√3-√2÷√3+√2rationalise the denominator

Answer 1

Given:

√3 - √2 / √3 + √2

To find:

Rationalise the denominator

Solution:

√3 - √2 / √3 + √2

RF of denominator is √3 - √2.

Multiplying numerator and denominator with √3 - √2.

= √3 - √2 * √3 - √2 / √3 + √2 * √3 - √2

= (√3 - √2)² / (√3)² - (√2)²

= (√3)² - 2 * √3 * √2 + (√2)² / 3 - 2

= 3 - 2√6 + 2 / 1

= 3 - 2√6 + 2

= 5 - 2√6

Conclusion:

Therefore, the answer is 5 - 2√6.

Extra Information:

The identity used in the numerator is (a - b)² = a² - 2ab + b²

RF of a number is the opp. sign given for the number.

Ex: √3 - √2 / √3 + √2