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Square Roots Solutions

• The    square root    of a number is the opposite, or inverse, of the square of a number.

• Starting with    zero   , perfect squares can be graphed on a number line.
• To find the square root of a    perfect square   , ask yourself, “What number multiplied by itself results in the given value?”

Example 1

1. Circle the perfect squares in the list of numbers.
   $25, 32, 36, 47, 49, 72, 81$
   $\overline{)25}, 32, \overline{)36}, 47, \overline{)49}, 72, \overline{)81}$
   
2. Estimate the following numbers on a number line. Label each closed point.
   $\sqrt{25}, \sqrt{32}, \sqrt{36}, \sqrt{47}, \sqrt{49}, \sqrt{72}, \sqrt{81}$
   

Example 2

Simplify. If the number is not a perfect square, write “not a perfect square.”