Calculate the square root of 33

Problem

√(,33)

Solution

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

2. Check for perfect square factors. The factors of 33 are 1, 3, 11, 33.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. Conclude that the square root cannot be simplified further into a simpler radical form involving integers.

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

Final Answer

√(,33)≈5.74456

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