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The square root of a perfect square is an integer?

Yes it is.Since the square of an integer is called a perfect square, then the square root of a perfect square must be an integer.


What is a perfect square and perfect cubed number?

To find a number that is both a perfect square and a perfect cube, we must solve x2 = x3 over x ∈Z+. The only two solutions to this equation are 0 and 1, or x = {0,1}. Therefore, zero and one are the only two numbers that are both perfect squares and perfect cubes. --In easier terms: a perfect square is a number that can be "square rooted" and have no remainder. Like, 144. The square root is 12 therefore 144 is a perfect square. A perfect Cube is the same except that it must be "cubed rooted". Like 27. The cube root of this number is 3 therefore 27 is a perfect cube.


Is 2 a perfect square?

To be a perfect square, a number must have a square root that evaluates to an integer. The square root of 2 is approximately equal to 1.414, thus it is not 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.


What least number must be added to 5607 to make the sum a perfect square find theperfect square of its square root?

5607 + 18 = 5625, a perfect square. The perfect square of a square root is the number you started with.


Why is 50 not a perfect square?

A perfect square has the condition that it must be any positive integer multiplied by itself. The closest perfect squares to 50 are 7*7 = 72 = 49 and 8*8 = 82 = 64 since 50 lies between 49 and 64, it must be it is not the square of a positive integer and, therefore, is not a perfect square.


In a difference of squares problem terms must be perfect squares?

coefficient


In a difference of squares problem both terms must be what squares?

Perfect


What must be added to 452664 to make it a perfect square?

Sqrt of 453664 is 672 and a bit.So next square is 673 squared, ie 452929, so 265 must be added.


What is a four-digit number that is a perfect square and perfect cube?

For a number to be a perfect square and a perfect cube, it must be a perfect sixth power. Now 36 = 729 is too small and 56 = 15625 is too large, leaving 46 = 4096 as the answer.


What must be added to 45664 to make it a perfect square?

you please answer this question and mail me


What must be added to 12345 to make the next perfect square?

sqrt 12345 is about 111.1062 so the next perfect square is 1122= 12544 so you have to add 199