Evaluate square root of 33

Problem

√(,33)

Solution

1. Identify the number under the radical, which is 33

2. Check for perfect square factors by listing the prime factors of 33

3. Factor the number into its prime components: 33=3×11

4. Determine if the radical can be simplified. Since neither 3 nor 11 are perfect squares and there are no repeating factors, the expression cannot be simplified into a simpler radical form.

5. Estimate the decimal value if needed. Since 5=25 and 6=36 the value is between 5 and 6 Using a calculator, √(,33)≈5.74456

Final Answer

√(,33)=√(,33)

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