Question

1 Rationalise the denominator of 7_ J,/​

Answer 1

$\large\blue{\sf{SOLUTION-}}$

=$\large{\sf{ \frac{1}{7 - 3 \sqrt{3} } }}$

=$\large{\sf{ \frac{1}{7 - 3 \sqrt{3} } \times \frac{7 + 3\sqrt{3} }{7 + 3 \sqrt{3} } }}$

=$\large{\sf{ \frac{7 + 3\sqrt{3} }{(7 ) {}^{2} - ( 3 \sqrt{3}) {}^{2} } }}$

=$\large{\sf{ \frac{7 + 3\sqrt{3}} { 49 - 27 } }}$

=$\large{\sf{ \frac{7 + 3\sqrt{3}} { 22 } }}$