For every natural number n,
i.e., the difference of squares of two consecutive natural numbers is equal to their sum
Proof: For any natural number n, we have
ILLUSTRATION:
etc.
Between the squares of two consecutive i.e. n² and (n+1), there are 2n non square numbers.
Illustration: The number of non square numbers that lie between the square of 8 and 9 = 8 X 2 = 16
Without actual squaring find the value of | |||
Right Option : D | |||
View Explanation |
Find the number of non square numbers that lie between the square of 17 and 18 . | |||
Right Option : B | |||
View Explanation |
How many numbers lie between square of 12 and 13? | |||
Right Option : D | |||
View Explanation |
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