Question

3/√3-√2+√5rationalize it

Answer 1

HeY FriENd HeRe is YoUR AnsWEr
HoPe mY anSwEr wILL heLp yOu

Answer 2

$\frac{3}{ \sqrt{3} - \sqrt{2} + \sqrt{5} } \\ \frac{3}{ \sqrt{3} - \sqrt{2} + \sqrt{5} } \times \frac{( \sqrt{3} - \sqrt{2} - \sqrt{5} }{( \sqrt{3} - \sqrt{2} - \sqrt{5} } \\ = \frac{3( \sqrt{3} - \sqrt{2} - \sqrt{5}) }{( { \sqrt{3} - \sqrt{2} )}^{2} - ( { \sqrt{5}) }^{2} } \\ = \frac{3( \sqrt{3} - \sqrt{2} - \sqrt{5}) }{3 + 2 - 2 \sqrt{6} - 5 } \\ = \frac{3( \sqrt{3} - \sqrt{2} - \sqrt{5}) }{- 2 \sqrt{6} } \\ \frac{3( \sqrt{3} - \sqrt{2} - \sqrt{5}) }{- 2 \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } \\ = \frac{3( \sqrt{18} - \sqrt{12} - \sqrt{30}) }{ - 12} \\ = \frac{(3 \sqrt{2} - 2 \sqrt{3} - \sqrt{30} }{ - 4} \\ = \frac{2 \sqrt{3} - 3 \sqrt{2} + \sqrt{30} }{4}$