Solve This Mystery Number Challenge - Do You Know Square Roots? #math #maths #algebra #squareroot

Hinzugefügt: 2026-06-03

[00:00:00]What we have here is a square root of 100 / 64 and that's equal to 55 over this mystery number. And the objective of this problem is to find this number.

[00:00:12]Well, there is something in mathematics that basically allows us to take one big square root like the square root of fraction and break it up into two individual square roots. So here I can rewrite this problem as the square root of 100 over 64 as the square root of 100 over the square root of 64. Okay? Now, what's the advantage of doing that? Well, the advantage is is I know what the square root of 100 is. In fact, it is 10, right? And the square root of 64 is 8.

[00:00:44]Now, if you're a little bit confused about what the square root is, basically when you're taking a square root of a number, for example, like 100, what we're looking for is a number times itself that gets us back to 100, right?

[00:00:58]So 10 * 10 gets us back to 100. So therefore, 10 is the square root of 100.

[00:01:04]All right. So now at this point, we just took this expression, this big square root here, and we got it down to this lovely fraction 10 over 8. But anytime you're dealing with anything in mathematics, especially fractions, you always want to make sure you write them in their simplest form. And here we can reduce this fraction 10 over 8 into the fraction 5 over 4, right?

[00:01:26]Because two goes into 10 five times and two goes into eight four times. Just went from this expression, the square root of 100 over 64, and now we know that this the whole thing here is equivalent to 5 over 4. So this is an equivalent problem and much easier. We have 5 over 4 is equal to 55 over our mystery number.