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In $3-41$ , express each product in simplest form. Variables in the radicand with an even index are non-negative.$$\sqrt{x^{5} y^{3}} \cdot \sqrt{3 x y}$$

$x^{3} y^{2} \sqrt{3}$

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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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In $3-41$ , express each p…

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So we have spirit of exit. The fifth time's walk you time square, the three ex swat Something's going to separate everything or combine everything to be under the same radical. So we have extra defense. Why Q three x and why? So we also know that will we have the same base of different exponents and were multiple ending Together we end up adding those exploited so X to the A tough Next will be will give us extra be a plus feet. Linda the same. Think you're under these radicals, so whenever he doesn't have a next opponent, hasn't obviously exploded. Avoid close to excess first, so have fixed to the five. Let us one and then we do Wise will have block to the three plus one, and they will just have our three. This turns into where of X to the suit. Times wire to the Fort Times three. So whenever we have the square root, we have this understood to hear because it's square root and everything always has a lemon said, explaining to avoid so square root. Written as a fractional exponents is really next to the 1/2. So you take the number undo the radical, and you place it over the number outside of the radical. What about those girls? Always haven't understood to here. So if we separate, this will have square root, uh, exit six times square root. Uh, want to the Fort Times the square root last 30. So we change everything to have fractional exponents Will have x to this six over too. Times log onto the floor over to Times Square three. You don't have any reason to change that. Well, I just want to try. And she used to have actual next one. It's because we can reduce these fractions. So six divided by two will give us three. So it's a little bird. What about? About to give this to so r squared and we'll still have this square root three just sitting here. Well, this is our final answer.

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