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

1.	√3-√2÷√3+√2rationalise the denominator
Answer» 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

Answer»

Given:

√3 - √2 / √3 + √2

Rationalise the DENOMINATOR

√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

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