Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 1 - Whole Numbers - 1.8 Exponents, Roots, and Order of Operations - 1.8 Exercises: 27

Answer

A perfect square is a number whose square root is a whole number (is a square of a whole number). 25 is a perfect square because its square root is 5, whereas 50 does not have a whole number as a square root.

Work Step by Step

The square root of 25 is 5, a whole number, because 5^2 = 5 x 5 = 25. The square root of 50 is 7.07, which is not a whole number. According to the definition of perfect squares, 25 is a perfect square but 50 is not a perfect square.
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