My best mistake of the week was a question regarding converting a mixed radical into an entire radical but the coefficient was a negative number, and it looked like…

When looking at this question, I knew the fundamentals on how to solve it, since its a square root, I would have to take the coefficient and square it and then multiply it by the radicand, but, where I got wrong is it took the negative number as a whole, squared it and then multiplied that by the radicand which got me the answer √360 which is not the right answer, the real way to do it is…

As you can see in the example, instead of putting the negative number in the radicand, I left the – on the out side of the square root and just used the base number (6) to multiply in which got me my final answer of –√360.