7. Rationalise the denominator
ii- √2/√2+√3-√5
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Answer:
Now Multiply Numerator and Denominator.
\begin{gathered} \frac{1( \sqrt{3 + } \sqrt{2} ) + \sqrt{5} }{[( \sqrt{3} + \sqrt{2} ) - \sqrt{5}]\:[ ( \sqrt{3} + \sqrt{2}) + \sqrt{5} ]} \\ \\ \frac{( \sqrt{3} + \sqrt{2} ) + \sqrt{5} }{( \sqrt{3} + \sqrt{2} ) {}^{2} - \sqrt{5} {}^{2} } \\ \\ \frac{ \sqrt{3} + \sqrt{2} + \sqrt{5} }{3 + 2 + 2 \sqrt{3 \times 2} - 5} \\ \\ \frac{ \sqrt{3} +\sqrt{2}+ \sqrt{5} }{5 + 2 \sqrt{6} - 5 } \\ \\ \frac{ \sqrt{3} + \sqrt{2} +\sqrt{5} }{2 \sqrt{6} } \end{gathered}
[(
3
+
2
)−
5
][(
3
+
2
)+
5
]
1(
3+
2
)+
5
(
3
+
2
)
2
−
5
2
(
3
+
2
)+
5
3+2+2
3×2
−5
3
+
2
+
5
5+2
6
−5
3
+
2
+
5
2
6
3
+
2
+
5
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