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Mathematics
Mathematics
Problem
Rationalize the denominator and simplify
2
3
−
5
\dfrac{\sqrt{2}}{3-\sqrt{5}}
3
−
5
2
. The simplified result is a)
3
2
−
10
4
\dfrac{3\sqrt{2}-\sqrt{10}}{4}
4
3
2
−
10
b)
3
2
+
10
8
\dfrac{3\sqrt{2}+\sqrt{10}}{8}
8
3
2
+
10
c)
3
2
+
10
4
\dfrac{3\sqrt{2}+\sqrt{10}}{4}
4
3
2
+
10
d)
2
+
3
5
4
\dfrac{\sqrt{2}+3\sqrt{5}}{4}
4
2
+
3
5
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