Solve frac{sqrt{7^2}*sqrt{-7^2}}{sqrt{144}}

$$\frac{ \sqrt{ { 7 }^{ 2 } } \times \sqrt{ - { 7 }^{ 2 } } }{ \sqrt{ 144 } }$$

Evaluate (complex solution)

$$\frac{49}{12}i\approx 4.083333333i$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\frac{\sqrt{49}\sqrt{-7^{2}}}{\sqrt{144}}$$

Calculate the square root of 49 and get 7.

$$\frac{7\sqrt{-7^{2}}}{\sqrt{144}}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{7\sqrt{-49}}{\sqrt{144}}$$

Calculate the square root of -49 and get 7i.

$$\frac{7\times \left(7i\right)}{\sqrt{144}}$$

Multiply 7 and 7i to get 49i.

$$\frac{49i}{\sqrt{144}}$$

Calculate the square root of 144 and get 12.

$$\frac{49i}{12}$$

Divide 49i by 12 to get \frac{49}{12}i.

$$\frac{49}{12}i$$

Real Part (complex solution)

$$0$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$Re(\frac{\sqrt{49}\sqrt{-7^{2}}}{\sqrt{144}})$$

Calculate the square root of 49 and get 7.

$$Re(\frac{7\sqrt{-7^{2}}}{\sqrt{144}})$$

Calculate 7 to the power of 2 and get 49.

$$Re(\frac{7\sqrt{-49}}{\sqrt{144}})$$

Calculate the square root of -49 and get 7i.

$$Re(\frac{7\times \left(7i\right)}{\sqrt{144}})$$

Multiply 7 and 7i to get 49i.

$$Re(\frac{49i}{\sqrt{144}})$$

Calculate the square root of 144 and get 12.

$$Re(\frac{49i}{12})$$

Divide 49i by 12 to get \frac{49}{12}i.

$$Re(\frac{49}{12}i)$$

The real part of \frac{49}{12}i is 0.

$$0$$

Evaluate

$$\text{Indeterminate}$$