Which one of the following is the greatest ?

\sqrt{15} - \sqrt{13}

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\sqrt{13} - \sqrt{11}

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\sqrt{11} - \sqrt{9}

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\sqrt{9} - \sqrt{7}

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Solution

The correct option is D $\sqrt{9} - \sqrt{7}$
(A) $\sqrt{15} - \sqrt{13} = 3.87 - 3.61 = 0.26$
(B) $\sqrt{13} - \sqrt{11} = 3.61 - 3.32 = 0.29$
(C) $\sqrt{11} - \sqrt{9} = 3.32 - 3.00 = 0.32$
(D) $\sqrt{9} - \sqrt{7} = 3.00 - 2.65 = 0.35$
In all these the (D ) greatest 0.35

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\frac{1}{5 \times 7} + \frac{1}{7 \times 9} + \frac{1}{9 \times 11} + \frac{1}{11 \times 13} + \frac{1}{13 \times 15}

(\begin{matrix} \frac{- 15}{7} \div \frac{9}{11} \end{matrix}) \div \frac{3}{13} = \frac{- 15}{7} \div (\begin{matrix} \frac{9}{11} \div \frac{3}{13} \end{matrix})

1

0

A = {2, 3, 5, 7, 11, 13}

B = {5, 7, 9, 11, 15}

U = {2, 3, 5, 7, 9, 11, 13, 15}

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15

1 + 3 + 5 + 7

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17

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