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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 A Perfect Mystery created?
A Perfect Mystery was created in 2000.
When was The Perfect Woman created?
The Perfect Woman was created in 1949.
When was Perfect Situation created?
Perfect Situation was created in 2004.
When was Perfect Pie created?
Perfect Pie was created in 2002.
When was Perfect Lie created?
Perfect Lie was created in 2005.
When was The Perfect General created?
The Perfect General was created in 1991.
When was The Perfect Disaster created?
The Perfect Disaster was created in 1980.
When was Perfect Records created?
Perfect Records was created in 1993.
When was A Perfect Stranger created?
A Perfect Stranger was created in 1982.
