Square Root Of 8

Squares and square roots might sound like a daunting concept to you. But with a little effort, you’ll be solving problems faster than you ever thought you could. First off, let’s deal with the basics by looking at an example. 8 is an integer and when you multiply by itself, you get 64. So effectively, we just squared 8. Therefore, the square root of 64 is 8.

But now, what if you want to find out the square root of 8? Sure, you can use a calculator or a mobile phone. But can you find out the answer mentally? Well, it’s not exactly easy, but if you could generate a rough estimate, then it’s probably enough to give you the right answer.

Trick to find the square root of 8

To give you an idea, the square of 2 is 4 and the square of 3 is 9. So 8’s square root essentially lies between these two digits. But since 3 square is 9, which is greater than 8, it most probably lies between 2.8 or 2.9. The actual answer for the square root of 8 is 2.82842712475. And this is really close to our estimate. Similarly, you could use this technique to find out square roots of other numbers.

Do you know what the square root of 8 to the power of 3 is? To solve the problem, we need to take the square root of 8. Then, we take that value and multiply by itself 3 times.

So essentially, square root of 8 to the power of 3 = (2.828 x 2.828 x 2.828)

= 22.627..

Now, it’s easy to find the square root of 8 and we also learned what square root of 8 to the power of 3 is. Learn more and find out unique tips and tricks to help you understand more about square roots and know how to find square root of a number easily.

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Practise This Question

Find the value: 4 × (-2) × 4