Solving Square Root Problems

Solving Square Root Problems-42
This tucked-in number corresponds to the root that you're taking.For instance, relating cubing and cube-rooting, we have: ".We know from the Product Property of Radicals that we an multiply 8 times 3 and write it as one square root, like this: I hope this helps you to simplify square roots.

This tucked-in number corresponds to the root that you're taking.For instance, relating cubing and cube-rooting, we have: ".We know from the Product Property of Radicals that we an multiply 8 times 3 and write it as one square root, like this: I hope this helps you to simplify square roots.

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In some situations, negative numbers under a radical symbol are OK.

» How to simplify square roots Do you feel confused when asked to simplify a square root that is not a perfect square?

It can be tricky, but I'm going to break it down for you and you will be simplifying these babies in no time!

Difficulties, however, develop when we look at a problem such as .

This square root problem is asking for a number multiplied times itself that will give a product (answer) of -16.Let's start by analyzing something familiar - A perfect square.You probably already know the answer to this problem, but let's break it down and think about how we come up with the answer.That is, we find anything of which we've got a pair inside the radical, and we move one copy of it out front.When doing this, it can be helpful to use the fact that we can switch between the multiplication of roots and the root of a multiplication.In the first case, we're simplifying to find the one defined value for an expression.In the second case, we're looking for any and all values what will make the original equation true.In case you're wondering, products of radicals are customarily written as shown above, using "multiplication by juxtaposition", meaning "they're put right next to one another, which we're using to mean that they're multiplied against each other". You don't want your handwriting to cause the reader to think you mean something other than what you'd intended.You don't have to factor the radicand all the way down to prime numbers when simplifying.For example, is not a problem since (-2) • (-2) • (-2) = -8, making the answer -2.In cube root problems, it is possible to multiply a negative value times itself three times and get a negative answer.

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