Evaluate square root of 74
Problem
Solution
Identify the number under the radical, which is
74 Check for perfect square factors by listing the factors of
74 1 , 2, 37, 74$.Determine if the radical can be simplified. Since none of the factors (other than
1 are perfect squares, the expression√(,74) is already in its simplest radical form.Approximate the value if a decimal is required. Since
8=64 and9=81 the value lies between8 and9 Calculate the decimal approximation using a calculator or numerical method.
Final Answer
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