Question

Rationalize the denominator. The answer should be expressed in simplified form.

Answer 1

\[\frac{ \sqrt{10}-\sqrt{7} }{ \sqrt{10}+\sqrt{3} }\]
@charliealbert

Answer 2

\[\frac{ \sqrt{10}-\sqrt{3} }{ \sqrt{10}-\sqrt{3} }*\frac{ \sqrt{10}-\sqrt{7} }{ \sqrt{10}+\sqrt{3} }\]

\[\frac{ 10-\sqrt{10}\sqrt{7}-\sqrt{3}\sqrt{10}+\sqrt{7}\sqrt{3} }{ 10-3 }\]

Answer 3

In the numerator:
(a+b)(c+d)=a(c+d)+b(c+d)

Answer 4

Do the 10s divide out?

Answer 5

@charliealbert

Answer 6

What do you mean?.

Answer 7

Does the 10 in the numerator and denominator cancel out?

Answer 8

No because 3 is subtracting 10.

Answer 9

the anwer would be:

\[\frac{ 10-\sqrt{70}-\sqrt{30}+\sqrt{21} }{ 7 }\]

Answer 10

Oh ok thank you! Sorry i took so long I was registering for my classes for the fall online. :)

Answer 11

Ok, no problem. Good luck with your autumn classes

Answer 12

Thanks!