\hspace{-16}$If $\mathbf{a,b\in\mathbb{Z^{+}}}.$ Then prove that $\mathbf{\frac{a}{b}<\sqrt{2}<\frac{a+2b}{a+b}}$
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\hspace{-16}$If $\mathbf{a,b\in\mathbb{Z^{+}}}.$ Then prove that $\mathbf{\frac{a}{b}<\sqrt{2}<\frac{a+2b}{a+b}}$