13. Let a and b be positive integer show that root 2 always lies between a÷b and a+2b÷a+b

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a

b

\sqrt{2}

\frac{a}{b}

\frac{a + 2 b}{a + b} .

Let 'a' and 'b' be positive integers. Show that root 2 lies between a/b and a+2b/a+b .

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Let a and b be positive integers show that √2 always lies between a/b and a+2b/ a+b

Please give an easier explanation of this question as it's solution is very complicated in RD Sharma

a, b, c

\frac{a \sqrt{2} + b}{b \sqrt{2} + c}

\frac{a + b}{2}

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