Calculate the square root of 73

Problem

√(,73)

Solution

1. Identify the number as a prime number. Since 73 has no factors other than 1 and itself, it is not a perfect square and cannot be simplified into a product of smaller integers.

2. Determine if the radical can be simplified. Because 73 contains no perfect square factors (like 4, 9, 16, 25, 36, 49, or 64), the expression √(,73) is already in its simplest radical form.

3. Approximate the value if a decimal is required. Since 8=64 and 9=81 the value lies between 8 and 9. Using a calculator, √(,73)≈8.544

Final Answer

√(,73)=√(,73)

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