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प्रश्न
Find the square of the following number:
512
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उत्तर
We know:
The square of a three-digit number of the form 5ab = (250 + ab)1000 + (ab)2
\[\therefore\] 5122 = (250+12)1000 + (12)2 = 262000 + 144 = 262144
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संबंधित प्रश्न
Find the square of the given number.
71
Write a Pythagorean triplet whose one member is 14.
From the pattern, we can say that the sum of the first n positive odd numbers is equal to the square of the n-th positive number. Putting that into formula:
1 + 3 + 5 + 7 + ... n = n2, where the left hand side consists of n terms.
Which of the following triplets are pythagorean?
(8, 15, 17)
Which of the following triplet pythagorean?
(14, 48, 51)
Observe the following pattern \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
\[ 1 + 2 + 3 = \frac{1}{2}\left\{ 3 \times \left( 3 + 1 \right) \right\}\]
\[1 + 2 + 3 + 4 = \frac{1}{2}\left\{ 4 \times \left( 4 + 1 \right) \right\}\]and find the values of following:
31 + 32 + ... + 50
Which of the following number square of even number?
324
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96
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Put three different numbers in the circles so that when you add the numbers at the end of each line you always get a perfect square.

