Solve sqrt{16(16-18)(16-10)16-14}

$$\sqrt { 16 ( 16 - 18 ) ( 16 - 10 ) 16 - 14 }$$

Evaluate (complex solution)

$$\sqrt{3086}i\approx 55.551777649i$$

Solution Steps

Subtract 18 from 16 to get -2.

$$\sqrt{16\left(-2\right)\left(16-10\right)\times 16-14}$$

Multiply 16 and -2 to get -32.

$$\sqrt{-32\left(16-10\right)\times 16-14}$$

Subtract 10 from 16 to get 6.

$$\sqrt{-32\times 6\times 16-14}$$

Multiply -32 and 6 to get -192.

$$\sqrt{-192\times 16-14}$$

Multiply -192 and 16 to get -3072.

$$\sqrt{-3072-14}$$

Subtract 14 from -3072 to get -3086.

$$\sqrt{-3086}$$

Factor -3086=3086\left(-1\right). Rewrite the square root of the product \sqrt{3086\left(-1\right)} as the product of square roots \sqrt{3086}\sqrt{-1}. By definition, the square root of -1 is i.

$$\sqrt{3086}i$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Subtract 18 from 16 to get -2.

$$\sqrt{16\left(-2\right)\left(16-10\right)\times 16-14}$$

Multiply 16 and -2 to get -32.

$$\sqrt{-32\left(16-10\right)\times 16-14}$$

Subtract 10 from 16 to get 6.

$$\sqrt{-32\times 6\times 16-14}$$

Multiply -32 and 6 to get -192.

$$\sqrt{-192\times 16-14}$$

Multiply -192 and 16 to get -3072.

$$\sqrt{-3072-14}$$

Subtract 14 from -3072 to get -3086.

$$\sqrt{-3086}$$

Real Part (complex solution)

$$0$$