Evaluate the expression, or state that the expression is not a real number. \( \sqrt{64} \) Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The expression is a real number. \( \sqrt{64}=\square \) B. The expression is not a real number.
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The Deep Dive
A. The expression is a real number. \( \sqrt{64} = 8 \) The square root of 64 is a perfect square, which means it has an exact integer result—specifically, 8, since \( 8 \times 8 = 64 \). This demonstrates the fun side of mathematics, where numbers create neat and orderly relationships! Interestingly, the concept of square roots dates back to ancient civilizations, including the Babylonians, who were already using methods to approximate square roots over 4,000 years ago. This mathematical principle has laid the groundwork for countless modern applications, from architecture to engineering!