Question

Rationalize the denominator:-
3/2√5-3√2​

Answer 1

Step-by-step explanation:

• $\frac{3}{2 \sqrt{5} - 3 \sqrt{2} } \times \frac{2 \sqrt{5} + 3 \sqrt{2} }{2 \sqrt{5} + 3 \sqrt{2} }$
• $= > \frac{6 \sqrt{5} + 9 \sqrt{2} }{ {(2 \sqrt{5} )}^{2} - {(3 \sqrt{2} )}^{2} }$
• $= > \frac{6 \sqrt{5} + 9 \sqrt{2} }{20 - 18}$
• $= > \frac{6 \sqrt{5} + 9 \sqrt{2} }{2}$
• Hence the required answer. I hope it will help you. Thank you