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प्रश्न
Find the square of the given number.
35
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उत्तर
352 = (30 + 5)2
= (30 + 5) (30 + 5)
= 30(30 + 5) + 5 (30 + 5)
= 900 + 150 + 150 + 25
= 1225.
संबंधित प्रश्न
Find the square of the given number.
71
Write a Pythagorean triplet whose one member is 14.
What will be the units digit of the square of the following number?
977
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
1002 − 992
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 are square of even number?
6561
Find the square of the following number:
512
For every natural number m, (2m – 1, 2m2 – 2m, 2m2 – 2m + 1) is a pythagorean triplet.
Write the Pythagorean triplet whose one of the numbers is 4.
Find the length of the side of a square if the length of its diagonal is 10 cm.
