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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.
When both factors are the same product the product is called?
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.
When was Perfect Machine created?
Perfect Machine was created in 1988.
When was The Perfect Circle created?
The Perfect Circle was created in 1997.
When was Perfect Combination created?
Perfect Combination was created in 1983.
When was The Perfect Nanny created?
The Perfect Nanny was created in 1964.
When was The Perfect Son created?
The Perfect Son was created in 2000.
When was The Perfect Flapper created?
The Perfect Flapper was created in 1924.
When was A Perfect Circle created?
A Perfect Circle was created in 1999.
When was Perfect Relations created?
Perfect Relations was created in 1992.
When was Perfect Creature created?
Perfect Creature was created in 2007.
