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Question
Find the square of the following number:
127
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Solution
We will use visual method as it is the most efficient method to solve this problem.
We have:
127 = 120 + 7
Hence, let us draw a square having side 127 units. Let us split it into 120 units and 7 units.
Hence, the square of 127 is 16129.
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\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
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