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zepelin [54]
3 years ago
8

Math Question

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

We know there are no squares between 100² and 101².

So we just want to know how many numbers between a and b exclusive, which is

n = b - a - 1

For example between 10 and 20 exclusive we get n=20-10-1=9, which is right.

For our problem here we can factor using the difference of two squares and get:

n = 101² - 100² - 1 = (101 - 100)(101 + 100) - 1 = 1(201) - 1 = 200

Answer: d. 200

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