Advertisements
Advertisements
Question
Which of the following number is squares of even number ?
256
Solution
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.
APPEARS IN
RELATED QUESTIONS
Find the square of the given number.
35
Write a Pythagorean triplet whose one member is 16.
Write a Pythagorean triplet whose one member is 18.
What will be the units digit of the square of the following number?
99880
Which of the following number square of even number?
1296
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:
98
Find the square of the following number:
503
The hypotenuse of a right triangle with its legs of lengths 3x × 4x is ______.
If m is the square of a natural number n, then n is ______.
