Question

Rationalize each denominator. Simplify the answer.

Answer 1

\[\frac{ 3- \sqrt{10}}{ \sqrt{5}-\sqrt{2} } \]

Answer 2

Multiply both top and bottom by the conjugate, which is \( \sqrt{5}+\sqrt{2}\)

Answer 3

\[\frac{3-\sqrt{10}}{\sqrt{5}-\sqrt{2}}\cdot \frac{\sqrt{5}+\sqrt{2}}{\sqrt{5}+\sqrt{2}}\]

Answer 4

ok. what do i do next

Answer 5

Simplify the numerator and denominator by the foil method, perhaps.

Answer 6

ok thanks