Evaluate square root of 46

Problem

√(,46)

Solution

1. Identify the number under the radical, which is 46

2. Check for perfect square factors by listing the factors of 46 1, 2, 23, 46.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 the nature of the root since 46 is not a perfect square and has no perfect square factors. The expression √(,46) is already in its simplest radical form.

4. Estimate the decimal value by finding the nearest perfect squares. Since 6=36 and 7=49 the value of √(,46) lies between 6 and 7

5. Calculate the approximate value using a calculator for a more precise decimal representation.

Final Answer

√(,46)≈6.7823299831

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