Evaluate square root of 57

Problem

√(,57)

Solution

1. Identify the number under the radical, which is 57

2. Check for perfect square factors. The factors of 57 are 1, 3, 19, 57.N*o*n*e*o*ƒ*t*h*e*s(e)*ƒ*a*c*t*o*r*s*(o*t*h*e*r*t*h*a*n)$) are perfect squares.

3. Determine if the radical can be simplified. Since 57 has no perfect square factors, the expression √(,57) is already in its simplest radical form.

4. Estimate the decimal value if needed. Since 7=49 and 8=64 the value is between 7 and 8 Using a calculator, √(,57)≈7.549834

Final Answer

√(,57)=√(,57)

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