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प्रश्न
If x and y are integers such that x2 > y2, then x3 > y3.
विकल्प
True
False
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उत्तर
This statement is False.
Explanation:
Given: Integer x and y
For an integer x and y as (– 1) and (– 2) respectively.
x2 > y2 ⇒ (– 2)2 > (– 1)2 = 4 > 1 (true)
And x3 > y3 ⇒ (– 2)3 > (– 1)3 = – 8 > – 1 (not true)
As – 8 < – 1
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संबंधित प्रश्न
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 square of even number?
225
Which of the following number square of even number?
4489
Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication:
54
Find the squares of the following numbers using diagonal method:
171
Find the square of the following number:
205
The sum of successive odd numbers 1, 3, 5, 7, 9, 11, 13 and 15 is ______.
There are ______ natural numbers between n2 and (n + 1)2
Write the Pythagorean triplet whose one of the numbers is 4.
