Record the following transaction in journal of lala urishabhor :
2000
Jan. 1. Business started by cash rupees 5000.
Jan. 2. Bought goods for cash rupees 800.
Jan. 3. Sold goods to sohan rupees 300.
Jan. 8. Bought goods from Ramesh rupees 500.
Jan. 28. Salt khud rupees 100.
Jan. 31. Paid salary rupees 200.
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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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