Solve frac{(sqrt{81}-sqrt{9})*(3^2div3^2)}{3^2}

$$\frac { ( \sqrt { 81 } - \sqrt { 9 } ) \cdot ( 3 ^ { 2 } \div 3 ^ { 2 } ) } { 3 ^ { 2 } }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Divide 3^{2} by 3^{2} to get 1.

$$\frac{\left(\sqrt{81}-\sqrt{9}\right)\times 1}{3^{2}}$$

Calculate the square root of 81 and get 9.

$$\frac{\left(9-\sqrt{9}\right)\times 1}{3^{2}}$$

Calculate the square root of 9 and get 3.

$$\frac{\left(9-3\right)\times 1}{3^{2}}$$

Subtract 3 from 9 to get 6.

$$\frac{6\times 1}{3^{2}}$$

Multiply 6 and 1 to get 6.

$$\frac{6}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$