Question

Write in simplified radical form by rationalizing the denominator

√10 - √ 3 / √10 +√3

Would this just be 0 ? :-/

Answer 1

(√10 - √ 3) / (√10 +√3) Like this?

Answer 2

yup x-actly

Answer 3

Good.
(√10 - √ 3) / (√10 +√3) = (√10 - √ 3) / (√10 +√3) * (√10 - √ 3) / (√10 - √3)
=(100-20√3 +9) / (100-3) = (109-20√3)/ 97

Answer 4

\[(\sqrt{10}-\sqrt{3}) \times (\sqrt{10}-\sqrt{3})\over(\sqrt{10}+\sqrt{3}(\sqrt{10}-\sqrt{3})\] is equal to
\[10-2\sqrt{30}+3\over 10-3\]
this then simplifies to\[13-2\sqrt{30}\over 7\]

Answer 5

left out a closing paren in the denominator but does not affect the solution