Solve -4*3+8-(-20)/sqrt{(-4)^2+1}

$$\frac { - 4 \cdot 3 + 8 - ( - 20 ) } { \sqrt { ( - 4 ) ^ { 2 } + 1 } }$$

Evaluate

$$\frac{16\sqrt{17}}{17}\approx 3.880570001$$

Solution Steps

Multiply -4 and 3 to get -12.

$$\frac{-12+8-\left(-20\right)}{\sqrt{\left(-4\right)^{2}+1}}$$

Add -12 and 8 to get -4.

$$\frac{-4-\left(-20\right)}{\sqrt{\left(-4\right)^{2}+1}}$$

The opposite of -20 is 20.

$$\frac{-4+20}{\sqrt{\left(-4\right)^{2}+1}}$$

Add -4 and 20 to get 16.

$$\frac{16}{\sqrt{\left(-4\right)^{2}+1}}$$

Calculate -4 to the power of 2 and get 16.

$$\frac{16}{\sqrt{16+1}}$$

Add 16 and 1 to get 17.

$$\frac{16}{\sqrt{17}}$$

Rationalize the denominator of \frac{16}{\sqrt{17}} by multiplying numerator and denominator by \sqrt{17}.

$$\frac{16\sqrt{17}}{\left(\sqrt{17}\right)^{2}}$$

The square of \sqrt{17} is 17.

$$\frac{16\sqrt{17}}{17}$$