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National
Easy
Algebra
10–12
Write
6
5
−
3
\frac{6}{\sqrt{5} - \sqrt{3}}
5
−
3
6
without a radical in the denominator.
Escreve
6
5
−
3
\frac{6}{\sqrt{5} - \sqrt{3}}
5
−
3
6
sem radical no denominador.
Answer options
A.
3
4
(
5
+
3
)
\frac{3}{4}(\sqrt{5} + \sqrt{3})
4
3
(
5
+
3
)
B.
6
(
5
+
3
)
6(\sqrt{5} + \sqrt{3})
6
(
5
+
3
)
C.
3
(
5
−
3
)
3(\sqrt{5} - \sqrt{3})
3
(
5
−
3
)
D.
3
(
5
+
3
)
3(\sqrt{5} + \sqrt{3})
3
(
5
+
3
)
Check Answer
Solution
Step 1 of 3
1.
Multiply numerator and denominator by the conjugate
5
+
3
\sqrt{5} + \sqrt{3}
5
+
3
.
Next step
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