Kishor and rupees 12500 in the first five month and rupees 21004 in the remaining 7 month find the average monthly income during the year
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Question 1
Prove that
\sf \dashrightarrow \dfrac{1}{1 + \sqrt{2}} + \dfrac{1}{\sqrt{2} + \sqrt{3}} + \dfrac{1}{\sqrt{3} + \sqrt{4}} + {\dots\dots\dots} \ + \dfrac{1}{\sqrt{8} + \sqrt{9}}⇢
1+
2
1
+
2
+
3
1
+
3
+
4
1
+……… +
8
+
9
1
Question 2
Prove that
\sf \dashrightarrow \ \dfrac{3 + 2\sqrt{2}}{2 - \sqrt{2}} - \dfrac{3 - 2\sqrt{2}}{2 + \sqrt{2}} = a + b\sqrt{2}⇢
2−
2
3+2
2
−
2+
2
3−2
2
=a+b
2
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