Question

Rationalize the denominator of 1 upon √3-√2​

Answer 1

Answer:

To rationalize the denominator we must multiply and divide the number by the denominator's conjugate. Conjugate of denominator is -- 2 + √3. Then, We know that, (a+b) ( a-b) = a² - b².

Answer 2

$Given \: \frac{1}{(\sqrt{3} - \sqrt{2})}$

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

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

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

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

Therefore.,

$\red{ \frac{1}{(\sqrt{3} - \sqrt{2})} }$

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

•••♪