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.

$$|0|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 0 is 0.

$$0$$

Factor

$$0$$