Solve sqrt{-36+4}sqrt{-9}

$$\sqrt{ -36+4 } \sqrt{ -9 }$$

Evaluate (complex solution)

$$-12\sqrt{2}\approx -16.970562748$$

Solution Steps

Add -36 and 4 to get -32.

$$\sqrt{-32}\sqrt{-9}$$

Factor -32=\left(4i\right)^{2}\times 2. Rewrite the square root of the product \sqrt{\left(4i\right)^{2}\times 2} as the product of square roots \sqrt{\left(4i\right)^{2}}\sqrt{2}. Take the square root of \left(4i\right)^{2}.

$$4i\sqrt{2}\sqrt{-9}$$

Calculate the square root of -9 and get 3i.

$$4i\sqrt{2}\times \left(3i\right)$$

Multiply 4i and 3i to get -12.

$$-12\sqrt{2}$$

Real Part (complex solution)

$$-12\sqrt{2}$$

Evaluate

$$\text{Indeterminate}$$