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Earn +20 ptsQ: Write 3.0 as the product of two irrational numbers?
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Is the product of two rational numbers irrational?
The product of two rational numbers is always a rational number.
Give an example of two irrational numbers whose product is not irrational?
(pi) x (1/pi) = 1
Write a numerical expression of the sum of two irrational numbers resulting in an irrational number?
sqrt(2) + sqrt(3) is irrational.
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.
Is the product of two irrational numbers is an integer?
It can be, but need not be. [sqrt(5)+sqrt(2)] and [sqrt(5)-sqrt(2)] are both irrational. Their product is 5-2 = 3. The two numbers are conjugates of one another and the property that their product is an integer is used to rationalise denominator of surds.
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