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प्रश्न
Which of the following number square of even number?
1296
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उत्तर
The numbers whose last digit is odd can never be the square of even number.
use prime factorisation method and make pairs of equal factors.
1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3
= (2 x 2) x (2 x 2) x (3 x 3) x (3 x 3)
There are no factors that are not paired. Hence, 1296 is a perfect square. The square of an even number is always even. Hence, 1296 is the square of an even number.
संबंधित प्रश्न
What will be the units digit of the square of the following number?
52698
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.
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
Which of the following number is squares of even number ?
256
Find the square of the following number:
127
Find the square of the following number:
265
Find the square of the following number:
205
If m is the square of a natural number n, then n is ______.
For every natural number m, (2m – 1, 2m2 – 2m, 2m2 – 2m + 1) is a pythagorean triplet.
If x and y are integers such that x2 > y2, then x3 > y3.
