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In $3-41$ , express each product in simplest form. Variables in the radicand with an even index are non-negative.$$(a+\sqrt{b})(a-\sqrt{b})$$

$=a^{2}-b$

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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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in this question, we're going to use foil to solve a plus ruby times a minus ruby foil, meaning first outside inside last, so I'll start with the 1st 8 times A. This is equal to a squared. Plus the outside comes next. A times negative root be. Don't forget that negative sign, so it's going to be a negative a route B. Now comes the inside root. Be times a so B plus a route to be finally, the last part. Positive ruby times and negative root be which will be a negative root. Be Times route. Be so it's just negative be continuing to solve. We could notice that negative. A ruby and a ruby just cancel each other out, so our final answer will simply be a squared minus B.

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