Calculate the square root of 0.81

Problem

√(,0.81)

Solution

1. Rewrite the decimal as a fraction to make the square root easier to identify.

√(,0.81)=√(,81/100)

2. Apply the quotient property of square roots, which states that the square root of a fraction is the square root of the numerator divided by the square root of the denominator.

√(,81/100)=√(,81)/√(,100)

3. Evaluate the square roots of the perfect squares in the numerator and the denominator.

√(,81)/√(,100)=9/10

4. Convert the resulting fraction back into a decimal.

9/10=0.9

Final Answer

√(,0.81)=0.9

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