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Finding Square Roots and Comparing Real Numbers Square root of a number If b 2 a , then b is the square root of a. Examples 32 9 o so the square roots of 9 are 3 and -3. 32 9 When writing the answer to square root problems we use symbol. This symbol is read as plus or minus. We use it because the answer can be both negative or both positive. Perfect Squares If the answer to a square root problem is an integer, then it is a perfect square. Non-Perfect Squares If the answer to a square root problem is a decimal, then it is a non-perfect square. Approximating Square Roots The following square root problem is a non-perfect square. Use a calculator to find the square root and round the answer to the nearest whole number. The top if a folding table is a square whose area is 945 square inches. Approximate the side length of the tabletop to the nearest inch. Irrational Numbers A number that cannot be written as a quotient of 2 integers. The decimal does not terminate or repeat. Real Numbers The set of all rational numbers and irrational numbers