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प्रश्न
Find the square of the following number:
512
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
Write a Pythagorean triplet whose one member is 14.
Which of the following triplet is pythagorean?
(18, 80, 82)
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 :
52 + 62 + 72 + 82 + 92 + 102 + 112 + 122
Which of the following number square of even number?
324
Which of the following number square of even number?
1296
Find the squares of the following numbers using diagonal method:
348
Find the square of the following number:
862
Find the square of the following number:
95
Write the Pythagorean triplet whose one of the numbers is 4.
Find the area of a square field if its perimeter is 96 m.
