You could definitely use a calculator or Google.

But if you would like to do this by hand, you can without too much trouble.

Written explanation continues below the video.

It’s possible you recognize that 196 is a perfect square. If you do, but you’re not sure what it is, 196 is definitely an even number. So you can divide by two.

It turns out that 196/2 is 98, which you can also divide by two.

So 2 x 2 x 49 = 196. You should recognize 49 as being a perfect square.

So the square root of 196 simplified is 14.

And it’s good to know that you can square a negative number and the square will be positive.

The convention of saying “the” square root means one, but it’s good to know about multiple solutions.

Additional Problems:

And some numbers that aren’t perfect squares,

Try finding

1. The square root of 20

2. The square root of 228

3. The square root of 52

Rafeef Daoud says

Thank you Neal .It’s so useful.

I tried this thought for another number. It was so easy .

Such as 144

144 = 2 × 2 ×36

The square root is = 2× 6 = 12

Neal says

Thanks!

asif says

but still we can divide 36 by 2 right. Because it’s also even number.

Neal says

Yes, that’s still an option if you didn’t notice that 36 was a perfect square.

SP says

can’t understand any of that. how can 2.7=14?

Neal says

It doesn’t say 2.7, The dot is higher, that means multiplication. Two multiplied by seven is fourteen.

After you start using algebra, you basically stop using ‘x’ as the symbol for multiplication since ‘x’ now stands for a variable x. So the dot is one form of notation to use. (2)(7) also means two multiplied by seven.

Mustabshirah khan says

Thank you! It was sooo useful. Do you like Maths?? I really like hate maths so that’s why I need help and still I am the TOPER in my class. Hilarious , right

but nothing can make me like Maths so don’t even think about it

Neal says

I like some math. I don’t necessarily like every thing I have ever done in a math class. But it all builds and things get more interesting the more you know, with math, physics, etc. In my opinion.