Solve (18.32%)^2+(8.82%)^2

$$( 18.32 \% ) ^ { 2 } + ( 8.82 \% ) ^ { 2 }$$

Evaluate

$$0.04134148$$

Solution Steps

Expand \frac{18.32}{100} by multiplying both numerator and the denominator by 100.

$$\left(\frac{1832}{10000}\right)^{2}+\left(\frac{8.82}{100}\right)^{2}$$

Reduce the fraction \frac{1832}{10000} to lowest terms by extracting and canceling out 8.

$$\left(\frac{229}{1250}\right)^{2}+\left(\frac{8.82}{100}\right)^{2}$$

Calculate \frac{229}{1250} to the power of 2 and get \frac{52441}{1562500}.

$$\frac{52441}{1562500}+\left(\frac{8.82}{100}\right)^{2}$$

Expand \frac{8.82}{100} by multiplying both numerator and the denominator by 100.

$$\frac{52441}{1562500}+\left(\frac{882}{10000}\right)^{2}$$

Reduce the fraction \frac{882}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{52441}{1562500}+\left(\frac{441}{5000}\right)^{2}$$

Calculate \frac{441}{5000} to the power of 2 and get \frac{194481}{25000000}.

$$\frac{52441}{1562500}+\frac{194481}{25000000}$$

Add \frac{52441}{1562500} and \frac{194481}{25000000} to get \frac{1033537}{25000000}.

$$\frac{1033537}{25000000}$$

Factor

$$\frac{1033537}{2 ^ {6} \cdot 5 ^ {8}} = 0.04134148$$