Question

Rationalize each denominator and simplify

3/√7 +5

Answer 1

\[\frac{5-\sqrt7}{6}\]

Answer 2

may i also ask your process of getting to that answer?

Answer 3

Assuming that the square root affects all of the denominator, the easiest way to simplify is by using the conjugate method. Multiply by \[\sqrt{7-5}/\sqrt{7-5}\] and simplify.

Answer 4

\[\frac{3}{\sqrt7 + 5} \times \frac{\sqrt7 - 5}{\sqrt7 - 5}\]