Math humor:

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Math humor Why wouldnt the tree fit in the
round pot? It had square roots.
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Because the area of a square can be expressed
using an exponent of 2, a number with an exponent
of 2 is said to be squared. You read 32 as three
squared.
The square root of a number is one of the two
equal factors of that number. Squaring a
nonnegative number and finding the square root of
that number are inverse operations.
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Positive real numbers have two square roots, one
positive and one negative. The positive square
root, or principle square root, is represented by
. The negative square root is represented
by - .
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A perfect square is a number whose square roots
are integers. you should memorize the perfect
squares below The first 11 perfect squares are
below in the table.
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Example
Find the two square roots of each number.
1A. 49
7 is a square root, since 7 7 49.
7 is also a square root, since 7 (7) 49.
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1B. 100
10 is a square root, since 10 10 100.
10 is also a square root, since 10 (10)
100.
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Examples
Simplify the expression. 2A.
144c2
Write the monomial as a square.
Use the absolute-value symbol.
12c
2B.
z6
Write the monomial as a square z6 (z3)2
z3
Use the absolute-value symbol.
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2C.
100n4
Write the monomial as a square.
10n2 is nonnegative for all values of n. The
absolute-value symbol is not needed.
10n2
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Talking Example Application
A square window has an area of 169 square inches.
How wide is the window?
Find the square root of 169 to find the width of
the window. Use the positive square root a
negative length has no meaning.
132 169
The window is 13 inches wide.