How many numbers lie between squares of the number in each pair? 76 and 77
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Step-by-step explanation:
Question :
How many numbers lie between squares of the number in each pair? 76 and 77
Solution :
To do this we have to find the squares if both the numbers and then subtract them.
➛ 76²
→ 76 X 76
→ (70 + 6) (70 + 6)
→ 70 X 70 + 70 X 6 + 6 X 70 + 6 X 6
→ 4900 + 420 + 420 + 36
→ 5776
➛ 77²
→ 77 X 77
→ (70 + 7) (70 + 7)
→ 70 X 70 + 70 X 7 + 7 X 70 + 7 X 7
→ 4900 + 490 + 490 + 49
→ 5929
↪ 77² - 76²
↪ 5929 - 5776
↪ 153
∴ 153 nos. lie between the squares of 76
and 77.
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