Solve 3*(-11)+11*3/(sqrt{(-11)^2+3^2)^2}*(-11/3)

$$\frac { 3 \cdot ( - 11 ) + 11 \cdot 3 } { ( \sqrt { ( - 11 ) ^ { 2 } + 3 ^ { 2 } } ) ^ { 2 } } \cdot ( \frac { - 11 } { 3 } )$$

Evaluate

$$0$$

Solution Steps

Do the multiplications.

$$\frac{-33+33}{\left(\sqrt{\left(-11\right)^{2}+3^{2}}\right)^{2}}\times \frac{-11}{3}$$

Add -33 and 33 to get 0.

$$\frac{0}{\left(\sqrt{\left(-11\right)^{2}+3^{2}}\right)^{2}}\times \frac{-11}{3}$$

Calculate -11 to the power of 2 and get 121.

$$\frac{0}{\left(\sqrt{121+3^{2}}\right)^{2}}\times \frac{-11}{3}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{0}{\left(\sqrt{121+9}\right)^{2}}\times \frac{-11}{3}$$

Add 121 and 9 to get 130.

$$\frac{0}{\left(\sqrt{130}\right)^{2}}\times \frac{-11}{3}$$

The square of \sqrt{130} is 130.

$$\frac{0}{130}\times \frac{-11}{3}$$

Zero divided by any non-zero number gives zero.

$$0\times \frac{-11}{3}$$

Fraction \frac{-11}{3} can be rewritten as -\frac{11}{3} by extracting the negative sign.

$$0\left(-\frac{11}{3}\right)$$

Multiply 0 and -\frac{11}{3} to get 0.

$$0$$

Factor

$$0$$