Solve 5.1sqrt{9}+sqrt{-44}

$$5.1 \sqrt { 9 } + \sqrt { - 44 }$$

Evaluate (complex solution)

$$15.3+i\times 2\sqrt{11}\approx 15.3+6.633249581i$$

Solution Steps

Calculate the square root of 9 and get 3.

$$5.1\times 3+\sqrt{-44}$$

Multiply 5.1 and 3 to get 15.3.

$$15.3+\sqrt{-44}$$

Factor -44=\left(2i\right)^{2}\times 11. Rewrite the square root of the product \sqrt{\left(2i\right)^{2}\times 11} as the product of square roots \sqrt{\left(2i\right)^{2}}\sqrt{11}. Take the square root of \left(2i\right)^{2}.

$$15.3+2i\sqrt{11}$$

Real Part (complex solution)

$$15.3$$

Evaluate

$$\text{Indeterminate}$$