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No; the square root of any rational number squared is that rational number.
Examples:
√(2^2) = √4 = 2.
√((1/2)^2) = √(1/4) = 1/2
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Is the product of two irrational numbers always an irrational number?
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.
Will you always get an irrational number when you multiply two irrational numbers if no provide a counterexample?
The square root of 2 times the square root of 2 is rational.
Is the square root of 12.1 a rational number or irrational number?
irrational square root of 121 = 11 square root of 1.21 = 1.1 square root of 12.1 = 3.47...
If x is a rational number is square root of x always irrational?
No. If 'x' is a perfect square, then its square root is also rational.
Is the square root of 19 irrational or rational?
The square root of the prime number 19 is an irrational number
Is the square root of a number always an irrational number?
No
Is the product of two irrational numbers always an irrational number?
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.
Why square roots are irrational?
Not always as for instance the square root of 16 is 4 which is a rational number but the square root of 2 is an irrational number.
Is the square root of any composite numbers irrational?
The square root of a composite number is not always an irrational number. e.g. 4 is a composite number and its square root is 41/2 = 2, which is rational number.
Is the square root of 85 a rational number?
No. The square root of an integer is always either an integer or an irrational number.
Is 1 plus the square root of 7 rational or irrational?
The square root of any positive integer can only be a WHOLE NUMBER or IRRATIONAL, so the square root of 7 is irrational.On the other hand, the sum of a rational and an irrational number is always irrational.
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.
Is the square root of 7 irrational or rational?
It is a irrational number. Because the square root of every imperfect square is irrational number.
How do you find an irrational square root?
An irrational number is a number that never ends. An example of an irrational square root would be the square root of 11.
Will you always get an irrational number when you multiply two irrational numbers if no provide a counterexample?
The square root of 2 times the square root of 2 is rational.
Is the square root of 27 a rational or irrational number?
The square root of 27 is an irrational number
Can multiplying two irrational numbers give you an irrational number?
Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)
