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Earn +20 ptsQ: Is the product of three rational numbers rational or irrational?
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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.
Can you add three irrational numbers to get a rational number?
Yes. sqrt(2), 2*sqrt(2) and -3*sqrt(2).
What is an unknown number x is less than 3 and greater than -1?
4
What goes into 1 three times?
1/3. The full answer is irrational (0.3333 repeating) * * * * * The full answer, 0.33... repeating, is rational, not irrational.
Is 1.43 an irrational or rational number?
The number 1.43 can be expressed as a fraction - as 1 43/100 or one and forty-three hundredths. Therefore, it is rational.
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