Simplify : (i) 3√2−2√33√2+2√3+√12√3−√2 (ii) 7+3√53

1.	Simplify : (i) 3√2−2√33√2+2√3+√12√3−√2 (ii) 7+3√53+√5−7−3√53−√5
Answer» Simplify : (i) $\frac{3 \sqrt{2} - 2 \sqrt{3}}{3 \sqrt{2} + 2 \sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}$ (ii) $\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}}$

Simplify : (i) 3√2−2√33√2+2√3+√12√3−√2 (ii) 7+3√53+√5−7−3√53−√5

Answer»

Simplify :

(i) $\frac{3 \sqrt{2} - 2 \sqrt{3}}{3 \sqrt{2} + 2 \sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}$

(ii) $\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}}$