# Square Root Squabble 2

## There's something quite interesting about the square roots of integers with several zeroes in them! If you observe the image below:

If the integer has an *even* number of zeroes, then the square root will have half as many zeroes! If the integer has an *odd* number of zeroes, then...you can write the square root as an integer multiplied by *the square root of *10; you should already know that most integers have irrational square roots. However, according to the lower 2 examples in the image, sometimes you might have to multiply by the square root of an integer other than **10.** (It has something to do with factors) By the way, make sure you pick a *multiple* of **10 **to put under the radical sign to the left of the equal sign or this math trick will fail to work! Also, if you multiply **10** by a *prime* number, this math trick won't work! (Except with the only even prime number **2** since *the square root of *20 = **2 × ***the square root of *5. It also works with **5; ***the* *square root of* 50 = **5 × ***the square root of* 2.)

## Also, don't forget that the 2 idempotent numbers are their own square roots!

Back to Index Page Back to Math Trick Menu

© Derek Cumberbatch