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Geometric mean

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Q: The square root of the product of two numbers is the of the number?
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Does there exist an irrational number such that its square root is rational?

No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).


All positive numbers have two square root a positive and a negative why?

The product of two negative numbers is a positive number. Ergo, the product of the square of a number is equal to the square of its negative equivalent.


Is the product of two irrational numbers always an irrational number?

No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.


Can the product of 2 irrational numbers be a rational number?

Yes. For example, the square root of 2 times the square root of 2 is equal to 2.


What is the geometric mean of 4 and 18?

Remember that the geometric mean is the he nth root of the product of n numbers. Since you have two numbers it will be the square root of their product. In this case that is square root of ( 4x18)=square root of (72) which is about 8.485


How do you find square roots-?

The product of two numbers of the same number is the square root of that number as for example 5 times 5 = 25 and so its square root is 5. Or else use a calulator.


What is the number that is multiplied by another number to find the product?

"square root" if the two numbers are the same "multiplier" for any case


What two numbers has the sum of 52 and a product of 152?

The numbers are: 26 -square root of 524 and 26 +square root of 524


What is a whole number that can be named as a product of a number with itself called?

If it is product of an integer with itself, it is called a perfect square. Otherwise it has no name because all numbers are the product of some number with itself - viz the square root.


What are the numbers with square roots that are numbers?

A number with a square root is still a number. So the answer is all of them.


What does the square root of a number?

The square roots of a number are numbers and, as numbers, they are not capable of doing anything.


What are the rules for squares and squares roots?

With square roots if you have a number times itself or squared then that that product is that numbers square root example: 9x9= 81 81 square root is 9


Are 36 and 49 both Square numbers?

Yes, a square number means that it is the product of a number times the same number, so if you can divide a number buy the same number you get the square root. 6x6=36 and the square root of 36 is 6. 7x7 is 49 and the square root of 49 is 7. Make sense?


What is the geometric mean of 7 and 6?

The geometric mean of two numbers is the square root of the product of the numbers. In your case, the answer is the square root of 42.


4 is the geometric mean of 1 and what number?

16. Geometric mean of two numbers is the square root of their product.


Is the square root of 14 a natural number?

Natural numbers are those numbers used for counting. The square root of 14 is the irrational number 3.74165... . Therefore, the square root of 14 is not a natural number.


What kind of number has a square root?

A number that has a square root has to be able to be the product of two of the same numbers. Example: 4 x 4 = 16 16 can have a square root because 4 and 4 are the same. 10 can't have a square root because 2 x 5 = 10, and 2 and 5 aren't the same numbers.


Is the product of two irrational numbers irrational?

Sometimes it is and sometimes it isn't. The square root of 2 and the square root of 3 are both irrational, as is their product, the square root of 6. The square root of 2 and the square root of 8 are both irrational, but their product, the square root of 16, is rational (in fact, it equals 4).


What two numbers have the sum of 12 and the product of 9?

The numbers are: 6 plus square root of 27 and 6 minus square root of 27


What are imagery numbers?

imaginary numbers are numbers that are a negative square root, which is not possoble therefor it is called and imaginary number. ex the square root of -24 is an imaginary number


Can you take the square root of a negative number?

You can, if you consider complex numbers.


Where do you find square roots?

say u have the number 16. Its square root is 4. the square root(4) is the number that, when multiplied by itself, gives the original number (16). To find a square root you must first find the two closet perfect squares (a square being the product of a square root, a perfect square being the product of square roots that are whole numbers 1,2,3,4, ect.) then u find the approxomate distance between


Is non-real numbers exist?

no, every number is a real number --- There are numbers that are not real numbers. They are called imaginary numbers, and have the property that when they are squared, the result is negative. The square root of -1 is called i, and the square root of any other negative number is i times the square root of the absolute value of the number. So the square root of -4 is 2i.


How to do square root?

You find the same two numbers that make the number, then you use one of those numbers for your square root.


Which of these numbers is classified as a rational number square root 17 square root 23 square root 9 square root 2?

square root of 9 = 3 but 2, 17 and 23 are irrational numbers