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If x is a rational number is square root of x always irrational?
Wiki User
∙ 12y ago
No. If 'x' is a perfect square, then its square root is also rational.
Wiki User
∙ 12y ago
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Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Why an irrational number plus an irrational number equal a rational?
That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.
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.
Is the square root of 1.44 a rational or irrational?
The square root of 1.44 is 1.2 which is a rational number
Is the square root of 4.1 a rational or irrational number?
[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.
Is the square of a number irrational Always sometimes never?
The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.
Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Is the square of an irrational number always rational?
No. An example of this is pi.
Is the square root of 29 a rational or an irrational number?
The square root of 29 is an irrational number.
Why an irrational number plus an irrational number equal a rational?
That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.
Is the square root of -144 rational or irrational?
It is irrational, because it is not a perfect square. For example, if you have a number that is perfect like the square root of 100, it would be 10, which is a rational number. An irrational number like 16.4 which would be a not so accurate result like 6.447583839, those are irrational numbers. Hope this helps!
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 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.
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.
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 4.6 irrational or rational?
4.6 is rational.
Is the square root of 9 rational or irrational?
It is rational.The square root of 9 is 3 and it is a rational number
