Question

Rationalize the denominator and simplify

Answer 1

*

Answer 2

\[\frac{ \sqrt{7}+\sqrt{3} }{ \sqrt{7}-\sqrt{3} }\]

Answer 3

\[
\frac{\left(\sqrt{3}+\sqrt{7}\right)
\left(\sqrt{3}+\sqrt{7}\right)}{\left(\sqrt{7}-\sqrt{3}\right)
\left(\sqrt{3}+\sqrt{7}\right)}=\frac{1}{4}
\left(\sqrt{3}+\sqrt{7}\right)^2

\]
Can you finish it?

Answer 4

\[
\frac{1}{4}
\left(\sqrt{3}+\sqrt{7}\right)^2=\frac{1}{4} \left(10+2
\sqrt{21}\right)=\frac{1}{2} \left(5+\sqrt{21}\right)

\]

Answer 5

You fill in the details

Answer 6

@eliassaab I had the same answer. It's asking me to write the answer as a single fraction

Answer 7

My answer is written as single fraction