Question

rationalize the denominator (√(10)-√(3))/(√(10)+√(3))

Answer 1

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

This is the question

Answer 2

multiply by \[\frac{ \sqrt{10}-\sqrt{3} }{ \sqrt{10}-\sqrt{3} }\]

Answer 3

@Mandre explain further mire please

Answer 4

The aim is just to rationalize the denominator.
\[(\sqrt{10}+\sqrt{3})(\sqrt{10}-\sqrt{3}) = 10 - 3 = 7\]

That would give you a rational denominator. Problem solved.

Answer 5

The numerator will be
\[10-2\sqrt{10}\sqrt{3}+3\]