Question

1 Simplify by rationalizing the denominator 2√3+√7​

Answer 1

Step-by-step explanation:

$\frac{1}{2 \sqrt{3} + \sqrt{7} }$

$\frac{1}{2 \sqrt{3} + \sqrt{7} } \times \frac{2 \sqrt{3} - \sqrt{7} }{2 \sqrt{3} - \sqrt{7} }$

$\frac{2 \sqrt{3} - \sqrt{7} }{ {2 \sqrt{3} }^{2} - { \sqrt{7} }^{2} }$

$\frac{2 \sqrt{3} - \sqrt{7} }{12 - 7}$

$\frac{2 \sqrt{3} - \sqrt{7} }{5}$