Evaluate square root of 0.09

Problem

√(,0.09)

Solution

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

√(,0.09)=√(,9/100)

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.

√(,9/100)=√(,9)/√(,100)

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

√(,9)/√(,100)=3/10

4. Convert the fraction back into a decimal.

3/10=0.3

Final Answer

√(,0.09)=0.3

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