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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
What is the product of a whole number times itself?
It is 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
