Question

Rationalize the denominator..

\[\frac{ -11x^3 }{ \sqrt{7x+1} }\]

@Loser66

Answer 1

Well if you only want a rational denominator bring the \(\sqrt{}\) to the top.
\[\dfrac{ -11x^3 \times \sqrt{7x+1}}{\sqrt{7x+1} \times \sqrt{7x+1}}\]
Which becomes:
\[\dfrac{ -11x^3 \times \sqrt{7x+1}}{7x+1}\]

Khan academy has a topic about rationalizing the denominator:
https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/how-to-rationalize-a-denominator

Answer 2

Alright, thanks bro. Sorry for late response, was eating :). Appreciated very much mate.

Answer 3

No problems, mate. Glad I was of any help :-).