answersLogoWhite

0

Is the square root of -4 irrational?

Updated: 4/28/2022
User Avatar

Wiki User

12y ago

Best Answer

The square root of -4 is not irrational, it is imaginary. Irrational Numbers are numbers that cannot be expressed as a fraction, like the square root of 2. Irrational numbers, however, are a subset of real numbers. The square root of -4 however, is not even a real number because no real number, when squared, gives -4. Therefore the square root of -4 is an imaginary number.

In calculus, the root is expressed as 2i where iis the square root of -1.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is the square root of -4 irrational?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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 product of two irrational numbers irrational?

Sometimes it is and sometimes it isn't. The square root of 2 and the square root of 3 are both irrational, as is their product, the square root of 6. The square root of 2 and the square root of 8 are both irrational, but their product, the square root of 16, is rational (in fact, it equals 4).


Is the square root of 4 irrational or rational?

It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.


Is the square root of 4 a rational or irrational number?

The square root of 4 is 2 which is a rational number


Is the square root of -16 irrational?

No, the square root is 4 so that means it is rational because it can be turned into a fraction!


Is they sqare root of 94 irrational or irrational?

The square root of 94 is an irrational number


Is the square root of 200 rational or irrational?

The square root of 200 is irrational.


Is the square root 16 rational or irrational?

The square root of 16 is 4, which is a rational number.


Is the square root of 28 irrational or rational?

irrational


Is the square root of -255 rational or irrational?

Irrational (and a multiple of i), as the square root of 255 is irrational.


Is the square root of 11 rational or irrational?

The square root of 11 is 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.