1.5
I would answer no because 3√2 ____ 5√2 Would simplify to 3 divided by 5 and that is not irrational.
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.
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.
1.5
I would answer no because 3√2 ____ 5√2 Would simplify to 3 divided by 5 and that is not irrational.
Yes, an irrational number divided by an irrational number will usually be an irrational number, but not always. For example, pi / (3pi) is 1/3, which is a rational number, but pi/e is an irrational number.
0.4286
0.375
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.
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
yes, unless you were to simplify (example: 3 times 3/2 = 6/2 = 3)
Sqrt(2) and sqrt(3)