I had pneumonia and pleurisy.

Put your arms straight down at your side,

Let me see your profile again.

And I want to do a little bit of a sideview.

And the left hand side is going to be the same one that we've been doing.

Yeah, yeah. Sure. Screwball in the corner pocket.

And then they took the something else, they walked 12 feet to the side, and exchanged it for dollars.

There's much I'd say, if I could get a word in edgewise.

But the radical sign implies the principal root.

We're taking the principal root, the positive square root.

The square root of 16 times 2 is the square root of 16 times the square root of 2.

So the square root of 12 is equal to square root of 3 times square root of 4.

The square root of 2 times the square root of x.

Square root of 4 over square root of 9, times x.

Times the square root of 5 times the square root of s.

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So square root of 2 times 2 times the square root of 5 times the square root of 9.

So we take the square root of both sides, you get I is equal to the square root of 3 over the square root of 4.

AND BE CAREFUL HERE, IF WE JUST TAKE THE PRlNClPLE ROOT, THE PRlNClPLE ROOT HERE IS THE POSlTIVE SQUARE ROOT

Times the square root of three, times the square root of three

Square root of three times square root of three

So b is equal to 36 minus 20 is 16. So square root of 16 over square root of 5.

It's going to be the square root of this times square root of that.

Square root of 12 is the same thing as the square root of 3 times the square root of 4.

The principal square root of 4 is 2, so this all simplifies and we can switch the order over here this is equal to 2 times the square root of 13 2 times the principal square root of 13, I should say, times i.

And this is just going to be equal to the principal root of 5x.

We are looking for the principle root of this is the same thing, this is the same thing as d times the principle root of 4 times the principle root of d to the fourth, times the principle root of d to the fourth

It's going to be 2 times the square root of 5 minus the square root of 5 times the square root of 5, which is 5.

And so this the same thing as the square root of 4 times 4 times the square root of 5 times 5 times the square root of 5.

But if you just write a radical sign, you're actually referring to the positive square root, or the principal square root.

Which is the same thing as the cube root, which is the same thing as the cube root of 1 times the cube root of 512 and this one is pretty straight forward to answer.

Times the principle root of 5 times the principle root, times the principle root of x squared times the principle root of x.

The square root of 9 times 9, the square root of 81.

So w is going to be equal to the square root of 25, the positive square root.

Well the square root of 2 times the square root of 2 is 2.

And the radical sign doesn't just have to apply to a square root.

This is the square root of 2 times the square root of 3.

Of thirty two divided by the cube no, I'll just take the square root.

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