How to Cancel Out a Square Root

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Canceling out a square root doesn't have to be the most difficult thing you attempt to do in a day. Cancel out a square root with help from a mathematics educator in this free video clip.

Part of the Video Series: Math Calculations
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Video Transcript

Hi I'm Jimmy Chang and we're here to talk about how to cancel out a square root. Now square roots as you know, is related to squares so actually square root and squares being opposite operations, to cancel out a square root, you would just square the expression and what happens is that will cancel the square root. Now often times this is done in equations where you have to apply the same operation to both sides. So let's do a quick demonstration. Suppose you have square root of X equals to let's just say 3. To get rid of the square root like I said before, you want to square this side but as you know in any equation to square one side you have to square the other side as well, so what will happen here is that the square and square root are gone. You have X is equal to 3 squared is going to be 9. Now, if you have something a little more complicated, you have the square root of let's just say X plus 3 equals to let's just say 10, to get rid of the square root you square both sides. The square and the square root are gone, you're left with X plus 3, 10 squared is 100 and then to solve for X just subtract from both sides, you have X is equal to 97. But the bottom line is when you're canceling a square root, you have to square it but because more often than not you'll be doing it in equations you have to do it to both sides of the equation. So I'm Jimmy Chang and that's how to cancel a square root.


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