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Mathematics
Mathematics
Problem
Rationalise the denominator of
2
5
−
2
3
\dfrac{\sqrt{2}}{5-2\sqrt{3}}
5
−
2
3
2
and choose the correct simplified form. a)
5
2
−
2
6
13
\dfrac{5\sqrt{2}-2\sqrt{6}}{13}
13
5
2
−
2
6
b)
5
2
+
2
6
25
\dfrac{5\sqrt{2}+2\sqrt{6}}{25}
25
5
2
+
2
6
c)
5
2
+
2
6
13
\dfrac{5\sqrt{2}+2\sqrt{6}}{13}
13
5
2
+
2
6
d)
5
2
+
2
6
37
\dfrac{5\sqrt{2}+2\sqrt{6}}{37}
37
5
2
+
2
6
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