Question

1. 2y2 =1.44 please explain how i got my answer

Answer 1

$2y^2=1.44\qquad\text{divide both sides by 2}\\\\y^2=\dfrac{1.44}{2}\to y=\pm\sqrt{\dfrac{1.44}{2}}\\\\y=-\dfrac{\sqrt{1.44}}{\sqrt2}\ \vee\ y=\dfrac{\sqrt{1.44}}{\sqrt2}\\\\y=-\dfrac{1.2}{\sqrt2}\ \vee\ y=\dfrac{1.2}{\sqrt2}\\\\y=-\dfrac{1.2\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\ \vee\ y=\dfrac{1.2\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\y=-\dfrac{1.2\sqrt2}{2}\ \vee\ y=\dfrac{1.2\sqrt2}{2}\\\\\boxed{y=-0.6\sqrt2\ \vee\ y=0.6\sqrt2}$