Evaluate square root of 21
Problem
Solution
Identify the number under the radical, which is
21 Check for perfect square factors by listing the prime factors of
21 which are3 and7 Determine that since
21 has no repeating prime factors, it is not a perfect square and cannot be simplified further in radical form.Approximate the value by finding the nearest perfect squares,
16 and25 noting that√(,16)<√(,21)<√(,25) which means4<√(,21)<5 Calculate the decimal approximation using a calculator for higher precision.
Final Answer
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