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In $3-41$ , express each product in simplest form. Variables in the radicand with an even index are non-negative.$$\sqrt{3} \cdot \sqrt{27}$$

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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 this problem we're trying to solve for the square root of three times the square root of 27. Keeping in mind that the square root of a times the square root of B is equal to the square root of a times B, the original expression can be simplified to the square root of three times 27. Three times 27 is equal to 81 so this expression could be simplified further to the square root of 81. Now we're lucky because the squared of 81 is a whole number, so this could be simplified to nine, which is our final answer.

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