Evaluate square root of 9.1

Problem

√(,9.1)

Solution

1. Rewrite the decimal as a fraction to make the expression easier to manipulate.

√(,9.1)=√(,91/10)

2. Rationalize the denominator by multiplying the numerator and denominator by 10 inside the square root.

√(,(91⋅10)/(10⋅10))=√(,910/100)

3. Simplify the square root by taking the square root of the denominator.

√(,910)/10

4. Estimate the value using the square root of the nearest perfect square, which is 9.

√(,9.1)≈3.016620626

Final Answer

√(,9.1)=√(,910)/10≈3.016620626

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