A Quick Explanation of How to Find Cube Root

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A Short Guide for How to Simplify Cube Roots

Cube Roots are numbers that when multiplied by itself three times, result in the original number. Cube Roots are similar to Square Roots except for a number to be a Cube Root the number must be multiplied by itself three times, instead of two times like a Square Root.

For example, in order to find the Cube Root of eight you must find the number that, when multiplied by itself three times, results in eight. In the case of eight, two is the Cube Root because two times two times two is eight.

Common Core Standard: 8.EE.A.2

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Here’s how to Complete any Cube Roots Worksheet

So what is the easiest way for how to find the cube root of a number? When finding Cube Roots, you have to look for a specific number. A Cube Root is a number that is multiplied by itself three times to get a new number. Cube Roots are like Square Roots with the exception that for a number to be a Cube Root the number must be multiplied three times and not twice like a Square Root.

3 Steps for Simplifying this Cube Roots Example

The Cube Root has a radical symbol with a three embedded into it.
When finding the Cube Root, you are looking for a number times itself three times to get the original number.
That number will be the Cube Root.

Cube Roots Practice Problems Quiz

A Video Explanation on How to Simplify Cube Roots

Watch our free video on how to simplify Cube Roots. This video shows how to solve problems that are on our free how to simplify Cube Root worksheet that you can get by submitting your email above.

Watch the free Solving Cube Roots video on YouTube here: How to find Cube Root

Video Transcript:

This video is about how to solve cube roots. You can get the simplifying cube roots worksheet we use in this video for free by clicking on the link in the description below.

When talking about how to find cube root, the first thing we should mention are square roots. The reason we are bringing up square roots is because square roots and cube roots are very similar. In order to find a square root, you have to find the number that when times itself equals our original number. So like the square root of 9 is 3 because 3 times 3 equals 9, a cube root is very similar to that except you are looking for the number that when times itself three times gets us our original number. When thinking about how to find cube roots you can think about how to find square roots first and then apply it to cube roots.

For example the cubic root of 27 is equal to 3 as well but is equal to 3 because 3 times 3 times 3 equals 27. Cube roots are also different in the way they look in terms of the radical symbol. If you were given the problem to find the cube root of 125, we would know that we are looking for the cube root because our radical symbol has this 3 embedded into it. Now that 3 means you are looking for what number times itself 3 times will get us back to our original number. In this case, 125 if there is no number there or if it has a 2 there that means it’s the square root, but if there is a 3 that means you are looking for the cube root. In the case of 125 it would be 5 because 5 times 5 times 5 is 125.

The first cube root practice problems we’re going to do on the cube root problems worksheet showing you how to find the cube root of a number is Number 1 which says find the cube root of 729. Now when finding the cube root of a number you are looking for what number times itself 3 times will get us back to our original number. In this case 729, if you multiply 9 times 9 times 9 you will get 729. That means that the cube root of 729 is 9 because 9 times itself three times is 729. This is how to solve cube root easily.

The last problem that we’re going to use to show you how to find cube root is to find the cube root of 216. Now once again you’re looking for what number times itself 3 times will get you back to your original number. In this case 216 if you were to multiply 6 times 6 times 6 you would get 216. Therefore we know that the cube root of 216 has to be 6 because 6 times itself 3 times is 216. You can try the practice problems by downloading the free cube root worksheets above.