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What is perfect square and perfect cube?
The square root of a perfect square and the cube root of a perfect cube is always an integer. A perfect square is a number multiplied by itself. A perfect cube is a number multiplied by itself twice. Example: 3 x 3 is 9, the square of 3 3 x 3 x 3 is 27, the cube of 3
Is 3 a perfect square?
No. to be a perfect square, you have to be able to square root it and get a whole number (NOT a decimal) the square root of 3 is 1.732. (1.7322 = 3) a perfect square is a number like 4 the square root of four is 2 (22 = 4)
When x is a perfect square what is true about the cube of x?
When ( x ) is a perfect square, it can be expressed as ( x = n^2 ) for some integer ( n ). The cube of ( x ) is then ( x^3 = (n^2)^3 = n^6 ). Since ( n^6 ) is also a perfect square (as ( n^6 = (n^3)^2 )), it follows that the cube of any perfect square is itself a perfect square. Thus, when ( x ) is a perfect square, ( x^3 ) is also a perfect square.
Is 9 a perfect square?
Yes, nine is a perfect squarebecause 9 = 3*3
What are perfect square?
A perfect square is a rational number that is the square of another rational number. 9, 16, 25, etc., are perfect squares of 3, 4, 5, etc., and X2 + 6X + 9 is a perfect square of (X + 3).
Why isn't 28 a square number?
28 is not a perfect square. A perfect square is an integer that is the square of another integer. 9 is a perfect square; it equal to 3 squared, or 3 X 3. Often, such numbers are called simply square numbers. While 28 is not a perfect square, it is a square number in the sense that it has a square root. by definition, the square root of 28 times itself equals 28.
Why is square root of 9 a rational number and square root of 3 is an irrational number?
Because 9 is a perfect square - which means that its square root is an integer. 3 is not a perfect square.
Is 50 a perfect square explain?
No, it is not. A perfect square is the product of two equal integers; i.e. 9 is a perfect square. It can be expressed as 3*3. There is no number that when multiplied twice equals 50.
What are examples of perfect square roots?
Perfect square roots are the counting numbers {1, 2, 3, ...} The squares of the perfect square roots are the perfect squares, namely 1² = 1, 2² = 4, 3² = 9, etc.
How do you check if a number is a perfect square?
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
What is a perect square?
I think you mean Perfect Square. If so, an example would be 9. It is a perfect square because it can be square root to 3.
Which is the only 3 digit no that is a perfect square and a perfect cube?
729
