answersLogoWhite

0

Are square roots always rational

Updated: 9/18/2023
User Avatar

Wiki User

13y ago

Best Answer

No. The square roots of 2, 3 and 5, for a start, are not rational.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Are square roots always rational
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Are all square roots rational numbers?

No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.


Is The square root of 0.151 rational or irrational?

The square roots are irrational.


Is the square root of 0.0625 rational or irrational?

The square roots are rational.


Why are the square roots of prime numbers greater than one always rational?

They aren't. The square roots of prime numbers are always irrational.


Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a rational number?

The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.


Is the square root are rational numbers?

Some square roots are rational but the majority are not.


Can square roots be rational?

The square root of 16 is rational. The answer would be 4, so, yes; they can be rational.


A short note on square root of rational number?

Square root of a rational number may either be rational or irrational. For example 1/4 is a rational number whose square root is 1/2. Similarly, 4 is 4/1 which is rational and the square root is 2 which of course is also rational. However, 1/2 and 2 are rational, but their square roots are irrational. We can say the square root of a rational number is always a real number. We can also say the rational numbers whose square roots are also rational are perfect squares or fractions involving perfect squares.


Are all square roots are irrational numbers?

No. The square roots of perfect squares are rational.


Are all square roots of even numbers rational?

No. The square roots 8 are irrational, as are the square roots of most even numbers.


Is square roots of 56 a rational number?

No, they are not.


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.