Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Calculate the simplified value of
3
5
+
3
\dfrac{3}{\sqrt{5}+\sqrt{3}}
5
+
3
3
after rationalizing the denominator. a)
3
(
5
+
3
)
2
\dfrac{3(\sqrt{5}+\sqrt{3})}{2}
2
3
(
5
+
3
)
b)
5
−
3
2
\dfrac{\sqrt{5}-\sqrt{3}}{2}
2
5
−
3
c)
3
(
5
−
3
)
2
\dfrac{3(\sqrt{5}-\sqrt{3})}{2}
2
3
(
5
−
3
)
d)
3
(
5
−
3
)
8
\dfrac{3(\sqrt{5}-\sqrt{3})}{8}
8
3
(
5
−
3
)
Browse the problem library