Find the value of -116-19

√( 1 16 + 1 9 #160; ) #160; =√( 9+16 16× 9 #160; ) #160; =√( 25 144 #160; ) #160; =√(( 5 12 #160; ) #160; ^ 2 ...

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Solving a Quadratic Equation by Completion of Squares Method

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Question

Find the value of $\sqrt{\frac{1}{16} + \frac{1}{9}}$

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Solution

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\frac{1}{2} + [(\frac{2}{3} \times \frac{3}{8}) \div 4] - \frac{9}{16}

∣ ∣ ∣ ∣ \begin{matrix} 1 & 4 & 9 4 & 9 & 16 9 & 16 & 25 \end{matrix} ∣ ∣ ∣ ∣

1 + \frac{1}{4} + \frac{1}{9} + \frac{1}{16} + . . . = \frac{π^{2}}{6}

\frac{1}{4} + \frac{1}{16} + \frac{1}{36} + \frac{1}{64} + . . .

\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1

\frac{x^{2}}{9} + \frac{y^{2}}{16} = 1

3^{1 / 4} {.9}^{1 / 8} {.27}^{1 / 16} {.81}^{1 / 32} . . . . . . . . . .,

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