Calculate the square root of 14

Problem

√(,14)

Solution

1. Identify the number under the radical, which is 14

2. Check for perfect square factors. The factors of 14 are 1, 2, 7, 14.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 14 has no perfect square factors, the expression √(,14) is already in its simplest radical form.

4. Estimate the decimal value if needed. Since 3=9 and 4=16 the value is between 3 and 4 Using a calculator, the value is approximately 3.741657

Final Answer

√(,14)≈3.741657

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