This week we learned about how to multiply and divide radicals. It is very similar to the protocol with multiplying and dividing fractions, which was a very helpful tip for me since radicals can look a little confusing and hard to do.
For multiplying, you multiply the coefficients together and then you multiply the radicals together to find the answer:
ex.
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and also, a good trick to remember with multiplying AND dividing is that you should always simplify the question as much as you can before starting to multiply/divide so that you don’t end up having big numbers at the end.
For dividing, the rule is that you cannot ever have a irrational number (a radical) as the denominator
ex.
In order to solve this question we would have to rationalize denominator so that it is not a radical anymore. In order to do that we mulitiply the top and the bottom by square root.
ex.
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Now that the denominator is a rational number, our process is over
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