Question

qual o valor de x? x²= 2$\sqrt{2}$ +$\sqrt{2}+ \sqrt{10}$

Answer 1

$\mathsf{x^2=2\sqrt{2}+\sqrt{2}+\sqrt{10}}\\\mathsf{x^2=2\sqrt{2}+\sqrt{2}+\sqrt{5}.\sqrt{2}}\\\mathsf{x^2=\sqrt{2}~.~(2+1+\sqrt{5})}\\\mathsf{x^2=\sqrt{2}~. ~(3+\sqrt{5})}\\\mathsf{x=\sqrt{\sqrt{2}~.~(3+\sqrt5)}}\\\mathsf{x=\sqrt[4]{2}~.~\sqrt{(3+\sqrt{5)}}}$

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