Calculate the square root of 22

Problem

√(,22)

Solution

1. Identify the number under the radical, which is 22

2. Check for perfect square factors by listing the factors of 22 which are 1, 2, 11, 22.S*i*n*c*e*n*o*n*e*o*ƒ*t*h*e*s(e)*(o*t*h*e*r*t*h*a*n)$) are perfect squares, the radical cannot be simplified further in exact form.

3. Estimate the value by finding the nearest perfect squares. Since 4=16 and 5=25 the value lies between 4 and 5

4. Calculate the decimal approximation using a calculator or numerical method.

Final Answer

√(,22)≈4.6904157598

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