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Mathematics
Mathematics
Problem
Simplify completely, leaving no surd in the denominator:
1
3
+
5
×
2
5
−
2
\dfrac{1}{3+\sqrt{5}} \times \dfrac{2}{\sqrt{5}-2}
3
+
5
1
×
5
−
2
2
. a)
5
+
1
4
\dfrac{\sqrt{5}+1}{4}
4
5
+
1
b)
5
−
1
2
\dfrac{\sqrt{5}-1}{2}
2
5
−
1
c)
5
+
1
2
\dfrac{\sqrt{5}+1}{2}
2
5
+
1
d)
2
(
5
+
1
)
5
−
1
\dfrac{2(\sqrt{5}+1)}{\sqrt{5}-1}
5
−
1
2
(
5
+
1
)
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