Solve sqrt{(6/5)^2i^2}

$$\sqrt { ( \frac { 6 } { 5 } ) ^ { 2 } i ^ { 2 } }$$

Evaluate

$$\frac{6}{5}i=1.2i$$

Solution Steps

Calculate \frac{6}{5} to the power of 2 and get \frac{36}{25}.

$$\sqrt{\frac{36}{25}i^{2}}$$

Calculate i to the power of 2 and get -1.

$$\sqrt{\frac{36}{25}\left(-1\right)}$$

Multiply \frac{36}{25} and -1 to get -\frac{36}{25}.

$$\sqrt{-\frac{36}{25}}$$

Calculate the square root of -\frac{36}{25} and get \frac{6}{5}i.

$$\frac{6}{5}i$$

Real Part

$$0$$

Solution Steps

Calculate \frac{6}{5} to the power of 2 and get \frac{36}{25}.

$$Re(\sqrt{\frac{36}{25}i^{2}})$$

Calculate i to the power of 2 and get -1.

$$Re(\sqrt{\frac{36}{25}\left(-1\right)})$$

Multiply \frac{36}{25} and -1 to get -\frac{36}{25}.

$$Re(\sqrt{-\frac{36}{25}})$$

Calculate the square root of -\frac{36}{25} and get \frac{6}{5}i.

$$Re(\frac{6}{5}i)$$

The real part of \frac{6}{5}i is 0.

$$0$$