Question

Rationalize the denominator and simplify.

a) 5/4- √3
b) 12/√7 + 2
c) 6/√2 - √3
d) 15√6/3√5

Answer 1

To rationalize denominators containing radicals, typically you multiply by the conjugate over itself (essentially multiplying by one).

Example:

a)

\[\frac{ 5 }{ 4-\sqrt{3} } \times \frac{ 4+\sqrt{3} }{ 4+\sqrt{3} }\]