c)
[tex](x-7)^{2} = 0 \ \ \ |\sqrt{}\\\\x-7 = 0\\\\\boxed{x = 7}[/tex]
e)
[tex](x+5)(x+5) = 0\\\\(x+5)^{2} = 0 \ \ \ |\sqrt{}\\\\x+5 = 0\\\\\boxed{x = -5}[/tex]
h)
[tex]x^{2} = 2\\\\x^{2}-2= 0[/tex]
(a² - b²) = (a + b)(a - b)
[tex](x+\sqrt{2})(x-\sqrt{2}) = 0\\\\x+\sqrt{2} = 0 \ \vee \ x-\sqrt{2} = 0\\\\x = -\sqrt{2} \ \vee \ x = \sqrt{2}\\\\\boxed{x \in\{-\sqrt{2},\sqrt{2}\}}[/tex]
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c)
[tex](x-7)^{2} = 0 \ \ \ |\sqrt{}\\\\x-7 = 0\\\\\boxed{x = 7}[/tex]
e)
[tex](x+5)(x+5) = 0\\\\(x+5)^{2} = 0 \ \ \ |\sqrt{}\\\\x+5 = 0\\\\\boxed{x = -5}[/tex]
h)
[tex]x^{2} = 2\\\\x^{2}-2= 0[/tex]
(a² - b²) = (a + b)(a - b)
[tex](x+\sqrt{2})(x-\sqrt{2}) = 0\\\\x+\sqrt{2} = 0 \ \vee \ x-\sqrt{2} = 0\\\\x = -\sqrt{2} \ \vee \ x = \sqrt{2}\\\\\boxed{x \in\{-\sqrt{2},\sqrt{2}\}}[/tex]