Solve {left(frac{9sqrt{7}}{12}right)}^2

$${ \left( \frac{ 9 \sqrt{ 7 } }{ 12 } \right) }^{ 2 }$$

Evaluate

$$\frac{63}{16}=3.9375$$

Solution Steps

Divide 9\sqrt{7} by 12 to get \frac{3}{4}\sqrt{7}.

$$\left(\frac{3}{4}\sqrt{7}\right)^{2}$$

Expand \left(\frac{3}{4}\sqrt{7}\right)^{2}.

$$\left(\frac{3}{4}\right)^{2}\left(\sqrt{7}\right)^{2}$$

Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$\frac{9}{16}\left(\sqrt{7}\right)^{2}$$

The square of \sqrt{7} is 7.

$$\frac{9}{16}\times 7$$

Multiply \frac{9}{16} and 7 to get \frac{63}{16}.

$$\frac{63}{16}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{2 ^ {4}} = 3\frac{15}{16} = 3.9375$$