0
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 else can I help you with?
A whole number whose square root is also a whole number is called what?
A whole number whose square root is also a whole number is called a perfect square. In mathematics, perfect squares are numbers that can be expressed as the product of an integer with itself. Examples of perfect squares include 1, 4, 9, 16, and so on.
What do you call the squares of whole numbers?
The squares of whole numbers are called perfect squares. A perfect square is a number that can be expressed as the product of an integer multiplied by itself. For example, 1, 4, 9, 16, and 25 are perfect squares because they can be written as 1^2, 2^2, 3^2, 4^2, and 5^2, respectively.
What is a perfect square factor?
All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.
Are all multiples of 4 perfect squares?
No, 8 is a multiple of 4 and NOT a perfect square.
How many perfect squares are there between 100 and 1000?
100 is a perfect square of 10.The square root of 1000 is 31.6blahblahblah, so the square of 31 is less than 1000 and the square of 32 is more than 1000.That means the perfect squares between (not including) 100 and 1000 are the squares of 11 through 31, a total of 21 different values.
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 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 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
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).
What is different about a perfect square and a difference of two squares?
"Perfect square" means that you square a whole number. Sometimes simply called "square" or "square number". "Difference of two squares" is the result of subtracting one such square from another. In most cases, the difference will not itself be a square.
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.
A whole number whose square root is also a whole number is called what?
A whole number whose square root is also a whole number is called a perfect square. In mathematics, perfect squares are numbers that can be expressed as the product of an integer with itself. Examples of perfect squares include 1, 4, 9, 16, and so on.
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 do you call the squares of whole numbers?
The squares of whole numbers are called perfect squares. A perfect square is a number that can be expressed as the product of an integer multiplied by itself. For example, 1, 4, 9, 16, and 25 are perfect squares because they can be written as 1^2, 2^2, 3^2, 4^2, and 5^2, respectively.
Is 42 a perfect square?
No- the closest perfect squares are 36 (perfect square of 6) and 49 (perfect square of 7)
