Solve sqrt{01(-31%)^2+03(-11%)^2+04(4%)^2+02(24%)^2}

$$\sqrt { 01 ( - 31 \% ) ^ { 2 } + 03 ( - 11 \% ) ^ { 2 } + 04 ( 4 \% ) ^ { 2 } + 02 ( 24 \% ) ^ { 2 } }$$

Evaluate

$$0$$

Solution Steps

Do the multiplications.

$$\sqrt{0\left(-\frac{31}{100}\right)^{2}+0\left(-\frac{11}{100}\right)^{2}+0\times \left(\frac{4}{100}\right)^{2}+0\times \left(\frac{24}{100}\right)^{2}}$$

Calculate -\frac{31}{100} to the power of 2 and get \frac{961}{10000}.

$$\sqrt{0\times \frac{961}{10000}+0\left(-\frac{11}{100}\right)^{2}+0\times \left(\frac{4}{100}\right)^{2}+0\times \left(\frac{24}{100}\right)^{2}}$$

Multiply 0 and \frac{961}{10000} to get 0.

$$\sqrt{0+0\left(-\frac{11}{100}\right)^{2}+0\times \left(\frac{4}{100}\right)^{2}+0\times \left(\frac{24}{100}\right)^{2}}$$

Calculate -\frac{11}{100} to the power of 2 and get \frac{121}{10000}.

$$\sqrt{0+0\times \frac{121}{10000}+0\times \left(\frac{4}{100}\right)^{2}+0\times \left(\frac{24}{100}\right)^{2}}$$

Multiply 0 and \frac{121}{10000} to get 0.

$$\sqrt{0+0+0\times \left(\frac{4}{100}\right)^{2}+0\times \left(\frac{24}{100}\right)^{2}}$$

Add 0 and 0 to get 0.

$$\sqrt{0\times \left(\frac{4}{100}\right)^{2}+0\times \left(\frac{24}{100}\right)^{2}}$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\sqrt{0\times \left(\frac{1}{25}\right)^{2}+0\times \left(\frac{24}{100}\right)^{2}}$$

Calculate \frac{1}{25} to the power of 2 and get \frac{1}{625}.

$$\sqrt{0\times \frac{1}{625}+0\times \left(\frac{24}{100}\right)^{2}}$$

Multiply 0 and \frac{1}{625} to get 0.

$$\sqrt{0+0\times \left(\frac{24}{100}\right)^{2}}$$

Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\sqrt{0+0\times \left(\frac{6}{25}\right)^{2}}$$

Calculate \frac{6}{25} to the power of 2 and get \frac{36}{625}.

$$\sqrt{0+0\times \frac{36}{625}}$$

Multiply 0 and \frac{36}{625} to get 0.

$$\sqrt{0+0}$$

Add 0 and 0 to get 0.

$$\sqrt{0}$$

Calculate the square root of 0 and get 0.

$$0$$

Factor

$$0$$