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प्रश्न
The sum of two perfect squares is a perfect square.
पर्याय
True
False
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उत्तर
This statement is False.
Explanation:
Given: Two perfect squares
Let us take an example: 16 and 25 both are perfect squares.
But 16 + 25 = 41 which is not a perfect square.
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संबंधित प्रश्न
Write a Pythagorean triplet whose one member is 14.
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
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) = \frac{2 \times 3 \times 4}{3}\]
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) = \frac{3 \times 4 \times 5}{3}\]
\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) + \left( 4 \times 5 \right) = \frac{4 \times 5 \times 6}{3}\]
and find the value of(1 × 2) + (2 × 3) + (3 × 4) + (4 × 5) + (5 × 6)
Which of the following number square of even number?
324
Which of the following number square of even number?
4489
Find the squares of the following numbers using diagonal method:
348
There are ______ natural numbers between n2 and (n + 1)2
If x and y are integers such that x2 > y2, then x3 > y3.
Find the length of the side of a square if the length of its diagonal is 10 cm.
Rahul walks 12 m north from his house and turns west to walk 35 m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning?
