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The dimensions of a rectangular solid are $\sqrt{5}$ inches by $(2+\sqrt{3})$ inches by $(2-\sqrt{3})$inches. Express the volume of the solid in simplest form.

$\sqrt{5} i n c h^{3}$

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Chapter 3

REAL NUMBERS AND RADICALS

Section 5

Multiplying Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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A rectangular solid has a …

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find the formula for the v…

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Find the volume of each so…

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The volume of the rectangu…

02:45

Find the volume of a recta…

03:28

The height of a rectangula…

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So we have a rectangular solid so rexing of solid. It's just a three by three by three right tingle. So it's just three d. So we know that the dimensions are 35 but two plus three bye to minus 43. So the height here he's also these two minus bearing three. They were looking for the volume. So the volume is length times with times heights and we have all three of these numbers. Sorely is Rupa our wit ISS two plus Route three on our highest to minus 43 Because multiplication is can you can switch the numbers around and still get the same result. I'm going to multiply the last two factors. First on women will supply this and this First some slim bring down the Route five And now Reynolds up are the first term. So two times he will give us for route three times to give us negative to room three, then the center terms here Now give us positive 23 in the last times here going to give us negative three because a radical religious cancel, we're gonna simplify the inside. So you have four minors theory. Don't give us one. And because these are the same radical here, we can combine your coefficient. But negative two was to give us zero. So these metal turned his counsel's out. They were just left with one. So now we have skirted Bob Thomas one. It's just wearing fuck. So the volume is swearing fug and inches square interest cube because it's falling in turn.

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