Any number raised
to the power of 2 can be modeled using a polygon--the square! That's why we
call raising a number to the second power "squaring the number." The perfect
squares are squares of whole numbers. Here are the first five perfect squares.
We've shown
a geometric model to verify each of these squares. The square root of a number
n is a number that, when multiplied by itself, equals n. Here are the
square roots of the perfect squares above.
This
model shows the number 169 as a square. From the model, what is the square
root of 169? We can count the number of units making up each side of the square.
We find 13 units to a side, so 13 is the square root of 169.
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