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The area of a square is 150 square feet. Express the length of a side of the square in simplest radical form.

5$\sqrt{6}$

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Chapter 3

REAL NUMBERS AND RADICALS

Section 3

Simplifying Radicals

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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here giving a square told the area of the square is equal to 150 square feet. So if we let each side and square right, he is a square. Every side is the same length. But if we have to sideline you, could the X. That means that while X square is 1 50 right, if this area is 1 50 that means that X square is equal to 1 50 which implies that X is equal to the square root of one fifties. The length of that side is the square root of 1 50 Now we write 1 50 as the product of two things such that one of the things that perfect square Well, yes, right, cause 1 50 is equal to 25 um, time six. And it's where we have 25 is five. So I can come outside of your radical. So therefore, this is equal to five times the square root of six. And this was given in, um, and square feet. So the length off one side is equal to buy the Times square six feet five times the square root of six feet. All right, take care

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