Question

$( 4\sqrt{3})$² = (x/2)² + (x/2)²

Answer 1

$(4 \sqrt{3})^2=(\frac{x}{2})^2+(\frac{x}{2})^2 \\ \\ 4^2*( \sqrt{3})^2=\frac{x^2}{4}+\frac{x^2}{4}\\ \\ 16*3=\frac{x^2+x^2}{4}\\ \\ 48=\frac{2x^2}{4}\\ \\ 48=\frac{x^2}{2}\\ \\ x^2=96\\ \\ x=\pm\sqrt{96}\\ \\ x=4 \sqrt{6}$

Answer 2

$(4 \sqrt{3} )^{2}= (\frac{x}{2})^2 + (\frac{x}{2})^2$

$16.3= \frac{x^2}{4} + \frac{x^2}{4}$

$48= \frac{2x^2}{4}$

$48.4=2x^{2}$

$\frac{192}{2}=x^2$

$x^2=96$

$x= \sqrt{96}$

$x= 4\sqrt{6}$