A square rug has an area 94 ft. Write the side length as a square root. Then decide if the side length is a rational number.

Hey there! I'm happy to help!

All of the sides of a square are the same. Therefore, to find the area, you multiply the side by itself. Multiplying a number by itself is conveniently called squaring.

Doing this backwards is called finding the square root. If you have an area of 64, you square root it, showing you that the sides are 8.

Therefore, the side length here is √94.

If we put √94 into the calculator, we see that it is 9.895359715

That number never ends and it goes on in no particular order, so it cannot be written as a fraction of two integers and therefore is not a rational number.

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