Calculate the square root of 74
Problem
Solution
Identify the number under the radical, which is
74 Check for perfect square factors by listing the prime factors of
74 Factor the number:
74=2×37 Determine if the radical can be simplified. Since both
2 and37 are prime numbers and neither is a perfect square, the expression√(,74) cannot be simplified into a simpler radical form.Estimate the decimal value if needed. Since
8=64 and9=81 the value is between8 and9 Specifically,√(,74)≈8.6023
Final Answer
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