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प्रश्न
Which of the following number is squares of even number ?
256
उत्तर
The numbers whose last digit is odd can never be the square of even numbers.
For each number, use prime factorisation method and make pairs of equal factors.
256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
= (2 x 2) x (2 x 2) x (2 x 2) x (2 x 2)
There are no factors that are not paired. Hence, 256 is a perfect square. The square of an even number is always even. Hence, 256 is the square of an even number.
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संबंधित प्रश्न
Find the square of the given number.
32
What will be the units digit of the square of the following number?
53924
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
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of
1112 − 1092
Find the squares of the following numbers using diagonal method:
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Find the square of the following number:
503
Find the square of the following number:
512
Find a Pythagorean triplet in which one member is 12.
The dimensions of a rectangular field are 80 m and 18 m. Find the length of its diagonal.
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