Question

Rationlize the denominator

1/ ✓3 - ✓2​

Answer 1

Question

Rationalise the denominator ;

$\frac{1}{ \sqrt{3} - \sqrt{2} }$

Answer

• in the Rationalize the denominator we have to change the sign and multiply the numbers . like below we are going to solve ;

$\frac{1}{ \sqrt{3} - \sqrt{2} }$

$= > \frac{1}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} }$

$= > \frac{ \sqrt{3} + \sqrt{2} }{( \sqrt{3} ) ^{2} - ( \sqrt{2}) ^{2} }$

$= > \frac{ \sqrt{3} + \sqrt{2} }{ 3 - 2}$

$= > \frac{ \sqrt{3} + \sqrt{2} }{1}$

$= > { \sqrt{3} + \sqrt{2} }$

so the required answer is root 3 + root 2 .

Additional information ;

(a^2+b^2)= (a+b)(a-b)

• when there is root square there the root will be cancelled and the number will be constant

Answer 2

Answer:

Step-by-step explanation: