Calculate the square root of 0.64

Problem

√(,0.64)

Solution

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

√(,0.64)=√(,64/100)

2. Apply the quotient rule for radicals, which states that the square root of a fraction is the square root of the numerator divided by the square root of the denominator.

√(,64/100)=√(,64)/√(,100)

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

√(,64)/√(,100)=8/10

4. Convert the resulting fraction back into a decimal.

8/10=0.8

Final Answer

√(,0.64)=0.8

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