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Is there a product of two perfect squares that is not a perfect square?
Wiki User
∙ 14y ago
No there isn't.
every perfect square number can be factored into Prime number. At their factoration you'll always have multiples of two on the primes exponent. Therefore you'll multiply a prime raised to a 2-multiple number with another prime raised to a 2-multiple number wich gives you also a number that factored gives you a product of prime numbers raised to a 2-multiple number and so, a perfect square.
Wiki User
∙ 14y ago
Anonymous
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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...
How can you two perfect squares for a given integer?
The proposition in the question is simply not true so there can be no answer!For example, if given the integer 6:there are no two perfect squares whose sum is 6,there are no two perfect squares whose difference is 6,there are no two perfect squares whose product is 6,there are no two perfect squares whose quotient is 6.
The process of writing a number algrebraic expression as a product?
what is the process of writing a expression as a product? is it Factoring, Quadractic equation, perfect Square trinomial or difference of two squares
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.
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.
Is the product of two perfect squares sometimes a perfect square?
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.
True or false If a number is the product of two perfect squares it has a rational square root?
true...
How can you two perfect squares for a given integer?
The proposition in the question is simply not true so there can be no answer!For example, if given the integer 6:there are no two perfect squares whose sum is 6,there are no two perfect squares whose difference is 6,there are no two perfect squares whose product is 6,there are no two perfect squares whose quotient is 6.
The process of writing a number algrebraic expression as a product?
what is the process of writing a expression as a product? is it Factoring, Quadractic equation, perfect Square trinomial or difference of two squares
What is the difference of 2 perfect squares?
This is when two perfect squares(ex.) [x squared minus 4] a question in which there are two perfect squares. you would find the square root of each. then it depends on what kind of math your doing.
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.
What two perfect squares when subtracted equalanother perfect square?
How about: 100-64 = 36 as one example
Why are all the perfect squares are rational number?
A perfect square is a square of an integer.The set of integers is closed under multiplication. That means that the product of any two integer is an integer. Therefore the square of an integer is an integer.Integers are rational numbers so the square [which is an integer] is a rational number.
What is similar about a perfect square trinomial and a difference of two squares?
Each has two binomial factors.
What is the solution of the difference between first two perfect squares that end with 9?
The smallest perfect squares that end with 9 are 9 (the square of 3) 49 (the square of 7). Their difference is 40.
What is perfect square number?
A perfect square is a number that can be expressed as the product of two equal integers.
