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Why is the product of two perfect squares always a perfect square?
The product of two perfect squares is always a perfect square because a perfect square can be expressed as the square of an integer. If we take two perfect squares, say ( a^2 ) and ( b^2 ), their product can be written as ( a^2 \times b^2 = (a \times b)^2 ). Since ( a \times b ) is an integer, ( (a \times b)^2 ) is also a perfect square, confirming that the product of two perfect squares yields another perfect square.
What is perfect square number?
A perfect square is a number that can be expressed as the product of two equal integers.
What is a whole number that can be named as a product of a number with itself?
A perfect square is a whole number that can be named as a product of a number with itself.
What is the name of a product with a repeated factor?
a perfect square
Is 1728 a perfect square?
No, 1728 is not a perfect square. The square root of 1728 is 41.569, which is not an integer. Therefore, since it cannot be expressed as the product of an integer multiplied by itself, 1728 does not qualify as a perfect square.
Why is the product of two perfect squares always a perfect square?
The product of two perfect squares is always a perfect square because a perfect square can be expressed as the square of an integer. If we take two perfect squares, say ( a^2 ) and ( b^2 ), their product can be written as ( a^2 \times b^2 = (a \times b)^2 ). Since ( a \times b ) is an integer, ( (a \times b)^2 ) is also a perfect square, confirming that the product of two perfect squares yields another 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.
What is perfect square number?
A perfect square is a number that can be expressed as the product of two equal integers.
What does a perfect square mean?
Any time you multiply an integer with itself, the product is a perfect square.
What is a whole number that can be named as a product of a number with itself?
A perfect square is a whole number that can be named as a product of a number with itself.
What is the product of same factor?
a perfect square
Is 22 a perfect square?
No it is not. 22 is not a perfect square because it is not a product of a rational number multiplied by itself. The closest perfect square would be 25
When both factors are the same product the product is called?
A perfect square
Is nine fourths a a perfect square?
No, a perfect square is a number that can be expressed as the product of two equal integers.
Is 22 a perfect square. Explain your answer?
No it is not. 22 is not a perfect square because it is not a product of a rational number multiplied by itself. The closest perfect square would be 25
Product of an integer multiplied by itself?
perfect square
What is a number multiplied by itself to get a product?
Perfect Square
