No because 2 to the power of 3 is 8 which is a rational number
Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).
No, 3 is a rational number. Pi and the square root of 2 are irrational numbers.
Sqrt(2) and sqrt(3)
The square root of 3 is an irrational number
yes, unless you were to simplify (example: 3 times 3/2 = 6/2 = 3)
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
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.
The square root of 3 is an irrational number
No. The cube root of 3, for example is irrational. But the square of cubert(3) is 3 to the power 2/3, which is irrational. Another example, pi2 is irrational (in fact so is pi to any non-zero power).
sqrt(2)*sqrt(3) is an irrational product.
1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.
Not necessarily. 3+sqrt(2) and 3-sqrt(2) are both irrational numbers. Their sum is 6 - a rational.
There are infinitely many irrational numbers between sqrt(2) and sqrt(3).
Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.
(root 2)/3
Any irrational number added to 0.5 will produce an irrational number.
5, 6.5, 1/2