What is Square root of 123?

The square root of 123 is the number that, when multiplied by itself, gives you 123.

Imagine you have a square cookie tray with 123 tiny cookies on it, all perfectly arranged in rows and columns. The square root would be like figuring out how many cookies are in each row (and column), if they were all the same number.

How we find it

Let’s say you try to fit 10 cookies in a row. That means there are 10 rows, but that makes only 100 cookies total. Too few!

Now, try with 11 cookies in a row, then you get 121 cookies (because 11 × 11 = 121). Still not quite enough.

So, the square root of 123 is somewhere between 11 and 12, because 11² = 121 and 12² = 144. It’s like a number that's just a little bigger than 11, it's not whole, but it helps us understand how cookies (or numbers) can be shared in equal groups.

You don’t need to know the exact value right away, just knowing it lives between those two numbers is already pretty cool!

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Examples

  1. A child is trying to find the square root of 123 by guessing and checking with small numbers.
  2. A student uses a calculator to approximate the square root of 123.
  3. A teacher explains that the square root of 123 is between 11 and 12.

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