Geometric Perfect Square

like a perfect square?

This is a perfect square.

49 is a perfect square.

This is a perfect square.

25 is a perfect square, and so 25x 2 is a perfect square. It's the square of 5x.

49x squared is a perfect square.

49y squared is a perfect square.

Make these things a perfect square.

And 9 is a perfect square.

So this is a perfect square.

This is looks like a perfect square, right?

And what do I mean by perfect square?

So we say, this is a perfect square.

Right. Perfect! Predicated on plumb level, square and centered.

So this fits the pattern of a perfect square.

So this was a perfect square of a binomial.

Well we now know it is a perfect square.

And to complete the square, we just want to turn this into a perfect square.

Returns TRUE if a is a perfect square, FALSE otherwise.

left hand side into the perfect square of a binomial.

So essentially, he wants this to become a perfect square.

So maybe, just maybe this could be a perfect square.

The length and the width should form a perfect square.

You see, completing the square is all about making the quadratic equation into a perfect square, engineering it, adding and subtracting from both sides so it becomes a perfect square.

So you can only square the numbers between one and 10 to get a perfect square.

It's taking every point and associating with it its perfect square.

So this it does fit the pattern of a perfect square.

Now this, hopefully you recognize this as already a perfect square.

We can only do this when this is a perfect square.

So maybe this whole expression is a perfect square of some binomial.

And this is a perfect square, and it's divided into 14 bits.

Now this, at least on the left hand side, is a perfect square.

You can always every perfect square has a positive or a negative root.

And say, hey, is this just maybe a perfect square of a binomial?

And then 9 is also a perfect square. It's the square of 3 or actually can also be 3. This could also be the square of 5x.

Given that 100 is the largest number, it's the whole largest perfect square there.

First of all, let's just check to make sure this isn't a perfect square.

Because I wanted this side to be a perfect square in terms of y.

Perfect! T Perfect!

Perfect. Just perfect.

That 313 can't be factored into a product of a perfect square and another number.

So we have 2 times 2 there, or 4 there, which is a perfect square.

Perfect. (Drum roll) Perfect.

But we added 4 on purpose so that this left hand side becomes a perfect square.