Solve frac{11sqrt{2}}{2}*frac{11sqrt{2}}{2}

$$\frac{ 11 \sqrt{ 2 } }{ 2 } \times \frac{ 11 \sqrt{ 2 } }{ 2 }$$

Evaluate

$$\frac{121}{2}=60.5$$

Solution Steps

Multiply \frac{11\sqrt{2}}{2} and \frac{11\sqrt{2}}{2} to get \left(\frac{11\sqrt{2}}{2}\right)^{2}.

$$\left(\frac{11\sqrt{2}}{2}\right)^{2}$$

To raise \frac{11\sqrt{2}}{2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(11\sqrt{2}\right)^{2}}{2^{2}}$$

Expand \left(11\sqrt{2}\right)^{2}.

$$\frac{11^{2}\left(\sqrt{2}\right)^{2}}{2^{2}}$$

Calculate 11 to the power of 2 and get 121.

$$\frac{121\left(\sqrt{2}\right)^{2}}{2^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{121\times 2}{2^{2}}$$

Multiply 121 and 2 to get 242.

$$\frac{242}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{242}{4}$$

Reduce the fraction \frac{242}{4} to lowest terms by extracting and canceling out 2.

$$\frac{121}{2}$$

Factor

$$\frac{11 ^ {2}}{2} = 60\frac{1}{2} = 60.5$$