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Why is the product of two perfect squares always a perfect square?
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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...
What are some perfect squares?
A perfect square (commonly square number) is an integer that is the square of another integer. That is to say, a perfect square is the product of any whole number multiplied by itself.Commonly remembered perfect squares include, 1 (1x1), 4 (2x2), 9 (3x3), 16 (4x4) and 25 (5x5).
Is zero perfect square?
No. Convention defines perfect squares as squares of positive integers.
Is a quadrilateral a always a square?
Yes because a quadrilateral is a 4 sided figure and a square always and will always have 4 sides
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 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.
What is the relationship between perfect squares and square roots?
The square roots of perfect squares are the numbers that when squared create perfect squares as for example 36 is a perfect square and its square root is 6 which when squared is 36
True or false If a number is the product of two perfect squares it has a rational square root?
true...
What are some perfect squares?
A perfect square (commonly square number) is an integer that is the square of another integer. That is to say, a perfect square is the product of any whole number multiplied by itself.Commonly remembered perfect squares include, 1 (1x1), 4 (2x2), 9 (3x3), 16 (4x4) and 25 (5x5).
How are square roots and perfect squares related?
The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.
Is zero is the perfect square?
No. There are infinitely many perfect squares so there is no "the" perfect square.
Is zero perfect square?
No. Convention defines perfect squares as squares of positive integers.
What type of number has an odd number of factors?
A perfect square has an odd number of factors. Factors of numbers always come in pairs -- except for perfect squares. Since the square root of a perfect square is listed only once on the list of factors, it results in a list with an odd number of factors.
Is a quadrilateral a always a square?
Yes because a quadrilateral is a 4 sided figure and a square always and will always have 4 sides
Is 42 a perfect square?
No- the closest perfect squares are 36 (perfect square of 6) and 49 (perfect square of 7)
Is 188 a perfect square?
No, 188 is not a perfect square. The nearest perfect squares as 169 and 196.
