Real Numbers And The Pythagorean Theorem Worksheet - Chapter 7 Page 3
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46Finding Square Roots
7.1
How can you fi nd the dimensions of a square
or a circle when you are given its area?
When you multiply a number by itself, you square the number.
⋅
2
= 4
4
4
Symbol for squaring
is the exponent 2.
= 16
4 squared is 16.
To “undo” this, take the square root of the number.
—
—
√
√
16 =
2
= 4
4
The square root of 16 is 4.
Symbol for square root
—
√
is a radical sign,
.
1 1
ACTIVITY:
Finding Square Roots
Work with a partner. Use a square root symbol to write the side length of
the square. Then fi nd the square root. Check your answer by multiplying.
—
√
a. Sample: s =
121 = 11 ft
2
Area
121 ft
Check
11
× 11
s
11
110
✓
The side length of the
121
square is 11 feet.
s
b.
c.
d.
2
2
2
Area
81 yd
Area
324 cm
Area
361 mi
s
s
s
C
OMMON
C
ORE
Square Roots
s
s
s
In this lesson, you will
fi nd square roots of
●
4
e.
2
f.
2
g.
Area
225 mi
Area
2.89 in.
2
Area
ft
perfect squares.
9
evaluate expressions
●
involving square roots.
use square roots to
●
solve equations.
s
s
s
Learning Standard
8.EE.2
s
s
s
288
Chapter 7
Real Numbers and the Pythagorean Theorem
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