Solve 2*5-10*1+11*0/sqrt{2^2+(-10)^2+11^2}

$$\frac { 2 \cdot 5 - 10 \cdot 1 + 11 \cdot 0 } { \sqrt { 2 ^ { 2 } + ( - 10 ) ^ { 2 } + 11 ^ { 2 } } }$$

Evaluate

$$0$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10-10\times 1+11\times 0}{\sqrt{2^{2}+\left(-10\right)^{2}+11^{2}}}$$

Multiply 10 and 1 to get 10.

$$\frac{10-10+11\times 0}{\sqrt{2^{2}+\left(-10\right)^{2}+11^{2}}}$$

Subtract 10 from 10 to get 0.

$$\frac{0+11\times 0}{\sqrt{2^{2}+\left(-10\right)^{2}+11^{2}}}$$

Multiply 11 and 0 to get 0.

$$\frac{0+0}{\sqrt{2^{2}+\left(-10\right)^{2}+11^{2}}}$$

Add 0 and 0 to get 0.

$$\frac{0}{\sqrt{2^{2}+\left(-10\right)^{2}+11^{2}}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{0}{\sqrt{4+\left(-10\right)^{2}+11^{2}}}$$

Calculate -10 to the power of 2 and get 100.

$$\frac{0}{\sqrt{4+100+11^{2}}}$$

Add 4 and 100 to get 104.

$$\frac{0}{\sqrt{104+11^{2}}}$$

Calculate 11 to the power of 2 and get 121.

$$\frac{0}{\sqrt{104+121}}$$

Add 104 and 121 to get 225.

$$\frac{0}{\sqrt{225}}$$

Calculate the square root of 225 and get 15.

$$\frac{0}{15}$$

Zero divided by any non-zero number gives zero.

$$0$$

Factor

$$0$$