Solve sqrt{01(-14*5%)^2+03(-25%)^2+04(25%)^2+02(55%)^2}

$$\sqrt { 01 ( - 14 \cdot 5 \% ) ^ { 2 } + 03 ( - 25 \% ) ^ { 2 } + 04 ( 25 \% ) ^ { 2 } + 02 ( 55 \% ) ^ { 2 } }$$

Evaluate

$$0$$

Solution Steps

Do the multiplications.

$$\sqrt{0\left(-14\times \frac{5}{100}\right)^{2}+0\left(-\frac{25}{100}\right)^{2}+0\times \left(\frac{25}{100}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\sqrt{0\left(-14\times \frac{1}{20}\right)^{2}+0\left(-\frac{25}{100}\right)^{2}+0\times \left(\frac{25}{100}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Multiply -14 and \frac{1}{20} to get -\frac{7}{10}.

$$\sqrt{0\left(-\frac{7}{10}\right)^{2}+0\left(-\frac{25}{100}\right)^{2}+0\times \left(\frac{25}{100}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Calculate -\frac{7}{10} to the power of 2 and get \frac{49}{100}.

$$\sqrt{0\times \frac{49}{100}+0\left(-\frac{25}{100}\right)^{2}+0\times \left(\frac{25}{100}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Multiply 0 and \frac{49}{100} to get 0.

$$\sqrt{0+0\left(-\frac{25}{100}\right)^{2}+0\times \left(\frac{25}{100}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\sqrt{0+0\left(-\frac{1}{4}\right)^{2}+0\times \left(\frac{25}{100}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Calculate -\frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\sqrt{0+0\times \frac{1}{16}+0\times \left(\frac{25}{100}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Multiply 0 and \frac{1}{16} to get 0.

$$\sqrt{0+0+0\times \left(\frac{25}{100}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Add 0 and 0 to get 0.

$$\sqrt{0\times \left(\frac{25}{100}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\sqrt{0\times \left(\frac{1}{4}\right)^{2}+0\times \left(\frac{55}{100}\right)^{2}}$$

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\sqrt{0\times \frac{1}{16}+0\times \left(\frac{55}{100}\right)^{2}}$$

Multiply 0 and \frac{1}{16} to get 0.

$$\sqrt{0+0\times \left(\frac{55}{100}\right)^{2}}$$

Reduce the fraction \frac{55}{100} to lowest terms by extracting and canceling out 5.

$$\sqrt{0+0\times \left(\frac{11}{20}\right)^{2}}$$

Calculate \frac{11}{20} to the power of 2 and get \frac{121}{400}.

$$\sqrt{0+0\times \frac{121}{400}}$$

Multiply 0 and \frac{121}{400} 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

$$0$$