1
$\begingroup$

$$\frac{-2}{3\sqrt\frac{5}{12u}}$$

What I did: turned denominator and numerator into square roots $\frac{\sqrt5}{\sqrt{12u}}$ simplified denominator to $2\sqrt{3u}$ and $2$ is multiplied by $-2/3$ to make $-4/3 \sqrt 5/\sqrt{12u}$

I then multiplied denominator and numerator by denominator to get $\frac{4\sqrt{15u}}{9u}$

correct answer: $\frac{-\sqrt{15u}}{9u}$ what did i do wrong thanks?

$\endgroup$
1
$\begingroup$

Your 'correct' answer and the other answer are wrong. Please have a look at this: $$ \begin{align} \frac{-2}{3\sqrt\frac{5}{12u}}&=-\frac{2}{3}\times\frac{\sqrt{12u}}{\sqrt{5}}\\\\ &=-\frac{2}{3}\times\frac{\sqrt{5}\times \sqrt{12u}}{\sqrt{5}\times \sqrt{5}}\\\\ &=-\frac{2}{15}\times \sqrt{5}\times \sqrt{12u}\\\\ &=-\frac{2}{15}\times \sqrt{5}\times \sqrt{4\times 3 \times u}\\\\ &=-\frac{4}{15}\sqrt{15\: u}. \end{align} $$ Hoping it helps.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.