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=(1.44)/(2)\to y=\pm\sqrt{(1.44)/(2)}\\\\y=-(√(1.44))/(\sqrt2)\ \vee\ y=(√(1.44))/(\sqrt2)\\\\y=-(1.2)/(\sqrt2)\ \vee\ y=(1.2)/(\sqrt2)\\\\y=-(1.2\cdot\sqrt2)/(\sqrt2\cdot\sqrt2)\ \vee\ y=(1.2\cdot\sqrt2)/(\sqrt2\cdot\sqrt2)\\\\y=-(1.2\sqrt2)/(2)\ \vee\ y=(1.2\sqrt2)/(2)\\\\\boxed{y=-0.6\sqrt2\ \vee\ y=0.6\sqrt2}`