Question

root 2 minus root 3 upon 3 root 2 minus 2 root 3

Answer 1

Hii friend,

✓2 - ✓3 / 3✓2 - 2✓3

=> ✓2-✓3/3✓2 -2✓3 × 3✓2+2✓3/3✓2+2✓3

=> (✓2-✓3)(3✓2+2✓3)/(3✓2 - 2✓3)(3✓2+2✓3)

=> ✓2(3✓2+2✓3)-✓3(3✓2+2✓3)/(3✓2)²-(2✓3)²

=> 3×2 + 2✓6 -3✓6 - 2 × 3/ 18 - 12

=> 6+2✓6-3✓6-6/6

=> -✓6/6 ......Ans.....

HOPE IT WILL HELP YOU..... :-)

Answer 2

Heya !!

Here's your answer.. ⬇⬇

$= \frac{ \sqrt{2} - \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \\ \\ = \frac{ \sqrt{2} - \sqrt{3} }{3 \sqrt{2} - 2 \sqrt{3} } \times \frac{3 \sqrt{2} + 2 \sqrt{3} }{3 \sqrt{2} + 2 \sqrt{3} } \\ \\ = \frac{ \sqrt{2}(3 \sqrt{2} + 2 \sqrt{3} ) - \sqrt{3}(3 \sqrt{2} + 2 \sqrt{3} ) }{ ({3 \sqrt{2} }^{2}) - ( {2 \sqrt{3} }^{2}) } \\ \\ = \frac{6 + 2 \sqrt{6} - 3 \sqrt{6} - 6 }{18 - 12} \\ \\ = \frac{ - \sqrt{6} }{6}$
HOPE IT HELPS..

THANKS ^-^