11-3-13-5 -14-15-m-15-Find m

((11/3)×(13/5)) (14/5)=(m/15) (143/15) (14/15)=(m/15) (129/15)=(m/15) ∴>m=129 ...

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Byju's Answer

Standard VII

Mathematics

BODMAS

11/3×13/5 -14...

Question

$(\frac{11}{3} \times \frac{13}{5}) - \frac{14}{15} = \frac{m}{15}$ .Find $m$

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Solution

$((\frac{11}{3}) \times (\frac{13}{5})) - (\frac{14}{5}) = (\frac{m}{15}) (\frac{143}{15}) - (\frac{14}{15}) = (\frac{m}{15}) (\frac{129}{15}) = (\frac{m}{15}) ∴ m = 129$

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Q. Find the value of the given expression:

\frac{1}{4 - \sqrt{15}} - \frac{1}{\sqrt{15} - \sqrt{14}} + \frac{1}{\sqrt{14} - \sqrt{13}} - \frac{1}{\sqrt{13} - \sqrt{12}} + \frac{1}{\sqrt{12} - \sqrt{11}} - \frac{1}{\sqrt{11} - \sqrt{10}} + \frac{1}{\sqrt{10} - 3}

Prove that:
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(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$