Question

Prove that √-√3√3+8√7+4√3=2

Answer 1

$\large{\mathbf{HELLO \:\:DEAR,}}$


$\mathit{\sqrt{-\sqrt{3} +\sqrt{3 + 8\sqrt{7 + 4\sqrt{3}}}}}$


$\mathit{\sqrt{-\sqrt{3}+ \sqrt{3 + 8\sqrt{2^2 + (\sqrt{3})^2+ 4\sqrt{3}}}}}$


$\mathit{\sqrt{-\sqrt{3} +\sqrt{3 + 8\sqrt{(2 + \sqrt{3})^2}}}}$



$\mathit{\sqrt{-\sqrt{3} +\sqrt{3 + 16 + 8\sqrt{3})}}}$


$\mathit{\sqrt{-\sqrt{3} +\sqrt{(\sqrt{3})^2 + 4^2 + 2(4)\sqrt{3})}}}$


$\mathit{\sqrt{-\sqrt{3}+ \sqrt{(4 + \sqrt{3})^2}}}$


$\mathit{\sqrt{-\sqrt{3} + 4 + \sqrt{3}}}$


$\mathit{=\sqrt{4}}$


$\mathit{=2}$



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