Evaluate ( square root of 21)/5

Problem

√(,21)/5

Solution

1. Identify the expression as a fraction involving a square root in the numerator and a rational number in the denominator.

2. Check for simplification by looking for perfect square factors of the radicand 21 Since the prime factorization of 21 is 3×7 there are no perfect square factors other than 1

3. Determine the decimal approximation if a numerical value is required. The square root of 21 is approximately 4.582575

4. Divide the approximate value by 5 to find the decimal result.

4.582575/5≈0.916515

Final Answer

√(,21)/5≈0.916515

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