Solve sqrt{5*6-9^2}

$$\sqrt{ 5 \times 6- { 9 }^{ 2 } }$$

Evaluate (complex solution)

$$\sqrt{51}i\approx 7.141428429i$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\sqrt{30-9^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$\sqrt{30-81}$$

Subtract 81 from 30 to get -51.

$$\sqrt{-51}$$

Factor -51=51\left(-1\right). Rewrite the square root of the product \sqrt{51\left(-1\right)} as the product of square roots \sqrt{51}\sqrt{-1}. By definition, the square root of -1 is i.

$$\sqrt{51}i$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\sqrt{30-9^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$\sqrt{30-81}$$

Subtract 81 from 30 to get -51.

$$\sqrt{-51}$$

Real Part (complex solution)

$$0$$