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Does an irrational number multiplied by an irrational number equal an irrational number?
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
How can you compare rational and irrational numbers?
Rational number can be divided into more that the number 2. Irrational number are numbers that can only be divided evenly with the number 2.
How is root 2 irrational?
2 is a prime number and its square root is an irrational number that cannot be expressed as a fraction
Is 81 a irrational number?
No. 81 is a rational number. An irrational number is a number with an endless amount of digits like pi or the square root of 2.
How can you turn an irrational number into a rational number?
Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.
Is the square of an irrational number rational?
Sometimes. eg the irrational number √2 squared is 2 which is rational (2 = 2/1) eg the irrational number √(√2) squared is √2 which is irrational.
Does an irrational number multiplied by an irrational number equal an irrational number?
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
Will any irrational number divided by an irrational number be irrational?
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
Is an irrational number times an irrational number always irrational?
The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.
What number produces a irrational number when multiplied by 0.5?
Any irrational number multiplied by 0.5 will produce another irrational number. For example, if you take the irrational number √2 and multiply it by 0.5, you get 0.5√2, which is also irrational. Thus, any irrational number, when multiplied by 0.5, will result in an irrational number.
Is a rational number times a irrational number?
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational]0 [rational] * sqrt(2) [irrational] = 0 [rational]
Can you add two positive irrational numbers to get an irrational number?
Yes. sqrt(2) + sqrt(2) = 2*sqrt(2), an irrational number.
Which number produces an irrational number when added to 0.4?
Any irrational number, added to 0.4 will give an irrational number.
Which number produces an irrational number when multipled by 0.4?
Any irrational number multiplied by 0.4 will produce an irrational number. For example, if you take the irrational number √2 and multiply it by 0.4, the result, 0.4√2, will also be irrational. Thus, any irrational number you choose will suffice.
Is the square root of 2 an irrational number or a rational number?
irrational
Is the square root a 2 an irrational number?
Yes, the square root of 2 is an irrational number.
Why is 2 an irrational number?
It isn't. 2 is perfectly rational.You are confused with the square root of 2, which is an irrational number.
