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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
What will be the units digit of the square of the following number?
12796
Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1112 − 1092
Observe the following pattern \[1^2 = \frac{1}{6}\left[ 1 \times \left( 1 + 1 \right) \times \left( 2 \times 1 + 1 \right) \right]\]
\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 = \frac{1}{6}\left[ 3 \times \left( 3 + 1 \right) \times \left( 2 \times 3 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :
12 + 22 + 32 + 42 + ... + 102
Which of the following number square of even number?
4489
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
54
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
96
Find the squares of the following numbers using diagonal method:
295
Find the square of the following number:
425
If x and y are integers such that x2 > y2, then x3 > y3.
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.
