[tex]2 {x}^{2} = 32[/tex]
[tex] {x}^{2} = \frac{32}{2} [/tex]
[tex] {x}^{2} = 16[/tex]
[tex]x = \pm \sqrt{16} [/tex]
[tex]x = \pm4 \: \in \:
\mathbb{Q}[/tex]
[tex]3 {x}^{2} = 147[/tex]
[tex] {x}^{2} = \frac{147}{3} [/tex]
[tex] {x}^{2} = 49[/tex]
[tex]x = \pm \sqrt{49} [/tex]
[tex]x = \pm7 \: \in \:
\mathbb{Q}[/tex]
[tex]2 {x}^{2} = 150[/tex]
[tex] {x}^{2} = \frac{150}{2} [/tex]
[tex] {x}^{2} = 75[/tex]
[tex]x = \pm \sqrt{75} [/tex]
[tex]x = \pm5 \sqrt{3}\:\in\:\mathbb{R} [/tex]
[tex]6 {x}^{2} = 750[/tex]
[tex] {x}^{2} = \frac{750}{6} [/tex]
[tex] {x}^{2} = 125[/tex]
[tex]x = \pm \sqrt{125} [/tex]
[tex]x = \pm5 \sqrt{5}\:\in\:\mathbb{R} [/tex]
