How To Multiply Square Roots
Question
What do you do first when multiplying two separate square root numbers?
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Hi, my name is Charles, and I'm one of the math teachers from the Maxim workshop. I am just going to now show you how to do some math. I am going to show you how to multiply square roots. A square root is pretty much going to be visible to you in any sort of textbook by this sign. Okay? Now, imagine if I was to try to show you what a square root does to a number. So, for instance, we take four, this square root when operating on four will have the effect of bringing down this number, down to a single number when multiplied by itself produces four. So, the number that we can think of is two, because two times two is equal to four. Okay? So, that's pretty much what a square root does. So, if we had four square roots times four, this is what happens when we try to multiply square roots by each other. Okay? The first thing you would want to do is to say to yourself - okay, I need to bring these numbers together - and we can do that by saying the square root goes over both numbers now. So we take up one of the square roots and we put both numbers inside the square root. So, we've got four times four. Okay? Now, four times four is sixteen. So, we bring this all the way down here and we have square root of sixteen. Okay? So, the square root now, we're looking for two numbers or a number when squared provides sixteen that is basically the definition of sixteen square root. So, the number that we can think of now is four. Okay? So, that's the solution to sixteen square root. Now, just imagine if we wanted to multiply two different numbers. Cause in this situation, we took square roots of four and multiplied it by square roots of four. So, when we have two different numbers, now, say, for instance, the square root of five and the square root of three. We just have to apply the same procedure. Okay? Nothing changes. So, we bring the two numbers under one square root. So, that's our first step. So, we've got our largest square root, three times five, and, now, we think of what three times five is, and, that's simple. Fifteen. So, again, the statement that the square root, pumps off to establish with this square root of fifteen, is what number can be squared together to provide fifteen. Now, there is no number. So, we just have to leave this as that. So, there's no more further simplification that we can do. The square root of fifteen is likewise with many other numbers. So, that's how to multiply square roots. .