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Is the product of two perfect squares sometimes a perfect square?
Wiki User
∙ 7y ago
yes..always a perfect square
A perfect square is the product of an integer by itself. If you multiply a perfect square
x² by another perfect square y² you get x²y² = x·x·y·y = x·y·x·y = (x·y)² which is a perfect square.
Note that the product of two integers will also be an integer so x·y must be an integer because if x² and y² are perfect squares x must be an integer and y must be an integer and x·y is therefore a product of 2 integers.
Wiki User
∙ 7y ago
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What is a perfect square factor?
All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.
Are all multiples of 4 perfect squares?
No, 8 is a multiple of 4 and NOT a perfect square.
How many perfect squares are there between 100 and 1000?
100 is a perfect square of 10.The square root of 1000 is 31.6blahblahblah, so the square of 31 is less than 1000 and the square of 32 is more than 1000.That means the perfect squares between (not including) 100 and 1000 are the squares of 11 through 31, a total of 21 different values.
Numbers whose square roots are integers are called?
perfect squares
Numbers that are squares of integers are called?
Square numbers * * * * * Although "perfect square numbers" is more descriptive.
What you have learn in product of perfect square?
That the set of perfect squares is closed under multiplication. That is if x and y are any two perfect squares, then x*y is a perfect square.
True or false If a number is the product of two perfect squares it has a rational square root?
true...
What is the relationship between perfect squares and square roots?
The square roots of perfect squares are the numbers that when squared create perfect squares as for example 36 is a perfect square and its square root is 6 which when squared is 36
What are some perfect squares?
A perfect square (commonly square number) is an integer that is the square of another integer. That is to say, a perfect square is the product of any whole number multiplied by itself.Commonly remembered perfect squares include, 1 (1x1), 4 (2x2), 9 (3x3), 16 (4x4) and 25 (5x5).
What is different about a perfect square and a difference of two squares?
"Perfect square" means that you square a whole number. Sometimes simply called "square" or "square number". "Difference of two squares" is the result of subtracting one such square from another. In most cases, the difference will not itself be a square.
How are square roots and perfect squares related?
The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.
Is zero is the perfect square?
No. There are infinitely many perfect squares so there is no "the" perfect square.
Is zero perfect square?
No. Convention defines perfect squares as squares of positive integers.
Is 42 a perfect square?
No- the closest perfect squares are 36 (perfect square of 6) and 49 (perfect square of 7)
Is 188 a perfect square?
No, 188 is not a perfect square. The nearest perfect squares as 169 and 196.
What fractions are a perfect square?
None. Perfect squares, by definition, are the squares of counting numbers and these cannot be fractions.
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.
