– English Lyrics

Lyrics & Translation

[English]

Get ready for an exciting dose of math.

Find the value of this square root

without using a calculator. At first,

you will look at this square root of 49

and you will think, "Huh, this is easy."

The square root of 49 is 7. But then you

will look at this square root of 48 and

your brain might say, "Wait, how am I

supposed to find its square root?" But

don't worry, let's solve it step by

step. First we deal with the inner part

which is the square<unk> of

49us<unk> of 48. We already know that

the square<unk> of 49 is 7. Now let's

break that seven down in a clever way.

Let's write 7 as 4 + 3. 4 is 2^ 2. And

well 3 is just square<unk> of 3 squared.

So that makes it 2^ 2 +<unk> of 3^ 2.

Noise. Next, let's look at the

square<unk> of 48. That's not a perfect

square, but it can be broken down. 48 is

16 * 3. And 16 is 4 * 4. So now the

square<unk> of 48 becomes the

square<unk> of 4 * 4 * 3. Now we can

write it as square<unk> of 4 *<unk> of 4

*<unk> of 3. Write both these square

roots of 4 as 2 and keep this

square<unk> of three as it is. Therefore

using this and this the square<unk> of

49 minus the<unk> of 48 can be written

as 2 ^2 +<unk> 3^ 2 - 2 * 2 *<unk> 3.

Oh, can you notice something? Yeah, this

is of the form a^ 2 + b^ 2 - 2 a which

is none other than a - b square. So this

will become the 2 - square<unk> of 3

square. Now if we take square root on

both sides this will become our original

expression and this square will be

cancelled with this square root and it

will become simply 2 minus square<unk>

of 3 and that's it. We know that the

square root of 3 is

1.732 and thus this will become 268.

No, good.

[Music]