This week we learned how to multiply and divide radicals. For an example in multiplying you would be given something like 2\sqrt{5} (3\sqrt{45} – 8\sqrt{5} + \sqrt{20}). In this example the first thing that you would do is simplify the radicals so you would then have 2\sqrt{5} (9\sqrt{5} – 8\sqrt{5} + 2\sqrt{5}), next you would do everything in the brackets and you would then get 2\sqrt{5} (3\sqrt{5}), once you have done everything in the brackets you then multiply, and you should get 6\sqrt{25}, you would then get 6 x 5 because the square root of 25 is 5. Your final answer should be 30.

The image bellow is a picture of the question I just went over:

When dividing radicals, they are similar to fractions but you cannot leave a radical in the denominator. For example you would have \sqrt{24} + \sqrt{48} – \sqrt{108} divided by \sqrt{6}. The first thing that you would do is simply divide so you would then have

\sqrt{4} + \sqrt{8} – \sqrt{18}. Then you would simplify and get 2 + 2\sqrt{2} – 3\sqrt{2}. After subtracting your final answer should be 2 – \sqrt{2}.

The picture bellow is of the dividing question I just went over: