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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).

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โˆ™ 2016-01-21 23:16:45
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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โˆ™ 2011-11-24 07:19:02

Virtually always.

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Q: Is the product of two irrational numbers irrational?
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Related questions

What happens when two irrational numbers are multiplied?

You get a product which can be rational or irrational.


Example of two irrational numbers the product of which is an irrational number?

sqrt(2)*sqrt(3) is an irrational product.


Why is the product of two rational number irrational?

The question is nonsense because the product of two rational numbers is never irrational.


Is the product of two rational numbers irrational?

The product of two rational number is always rational.


What product is true about the irrational and rational numbers?

The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.


Give an example of two irrational numbers whose product is not irrational?

(pi) x (1/pi) = 1


What are two irrational numbers whose product is rational?

Make the two irrational numbers reciprocals of each other. Ex.) 1/pi x pi = 1


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

No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.


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.


If you add two irrational numbers do you get an irrational number?

Not necessarily. The sum of two irrational numbers can be rational or irrational.


When you multiply two irrational numbers the result is called what?

If you multiply two irrational numbers, the result can be rational, or irrational.


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

yes it can, look at the example √3 times the √3 is 3. these two are rational numbers.

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