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Any integer multiplied by itself results in a perfect square.
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∙ 11y ago
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A definition of a perfect square trinomial?
A perfect square trinomial is looking for compatible factors that would fit in the last term when multiplied and in the second term if added/subtracted (considering the signs of each polynomials).* * * * *A simpler answer is: write the trinomial in the form ax2 + bx + c. Then, if b2 = 4ac, it is a perfect square.
Is 30 a perfect square?
30 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
Is 500 a perfect square?
500 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
Is 8 a perfect square?
8 is a perfect cube; it is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer....you're thinking of 9...
Is 144 a perfect square?
Yes. The square root of 144 is 12, making 144 a perfect square.
Why is a perfect square the square of a whole number?
It is the definition of a perfect square.
What is perfect square definition and example?
A perfect square is the square of an integer. For example, 1 (which is 12), 4 (22) or 9 (32) etc...
Can you Prove that sixty four is a perfect square?
Yes, just take its square root. Since it is an integer, 64 is a perfect square. Alternately, since the square of this integer is 64, 64 is a perfect square, by definition.
What fractions are a perfect square?
None. Perfect squares, by definition, are the squares of counting numbers and these cannot be fractions.
What is the definition of a non perfect square?
I have never before heard of a non-perfect square but I suppose it would be any non-zero number that is not the square of an integer. People sometimes say "perfect square" to mean an integer that is a square of an integer - I think the "perfect" is redundant but if you do not think "square" is clear by itself, say "integer square."
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.
What is the word that goes with this definition the product of a number and itself?
That would be a square. If the number that was multiplied by itself is an integer, it would be a perfect square,
What square numbers below 100 are also prime numbers?
A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!
Can a perfect square be a rational number?
yes it can All perfect squares are rational numbers as the definition of a perfect square is a number which is the product of an integer with itself. An integer is a rational number, and multiplying an integer by an integer produces another integer.
No prime number can be a perfect square True or false?
True. By definition, a prime number is divisible by one and by itself. Also by definition, a perfect square has at least an additional pair of factors - it's square root. Therefore a prime number could never be a perfect square. One exception that might come to mind in this case is the number one. One however, is not considered a prime number, and thus does not conflict with this rule.
Is the square root of any composite numbers rational?
Yes, of some; the square root of any perfect square is rational - for example, the square root of 4, of 9, of 16, etc.On the other hand, if your "composite number" is not a perfect square, then its square root is irrational.
A definition of a perfect square trinomial?
A perfect square trinomial is looking for compatible factors that would fit in the last term when multiplied and in the second term if added/subtracted (considering the signs of each polynomials).* * * * *A simpler answer is: write the trinomial in the form ax2 + bx + c. Then, if b2 = 4ac, it is a perfect square.
