Algebra

# Is the square root of negative 4 irrational or not real number?

###### Wiki User

It's irrational/not a real number

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## Related Questions

### Is the square root of negative 3 an irrational or a real number?

Neither. All irrational numbers are real numbers.Using the real number system you can't take the square root of a negative number, but if you're dealing with imaginary numbers then the square root of negative 3 is the square root of 3i

### Is square root -36 a irrational number?

The square root of negative 36 is an imaginary number and therefore not an irrational number. For a number to be irrational it must first be real.

### Is pi an Example of a number that is not real?

No. The square root of negative one is an example of an imaginary (not real) number. Pi is irrational, but real.

### What real number is also irrational?

All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.

### Is the square root of 24 real complex or imaginary?

The square root of any positive real number (as in this case) is a real number. (Such square roots are usually irrational.)The square root of a negative real number, such as the square root of -15, is an imaginary, and therefore also a complex, number.

### Is negative 7 square rooted over 2 a irrational number?

No, it is not even a real number. It is an imaginary number.

### Is the square root of negative 101 a rational number?

The square root of any negative number is not even a 'real' number. It's called 'imaginary', because there's no number you can multiply by itself to get a negative number. The square root of 101 is irrational.

### Is square of 2 a real number?

Yes, square of 2 is a real number. Real numbers fall into 2 categories, Rational and Irrational. Square of 2 is an irrational number.

### What is an example of a real number that is also an irrational?

The square root of any positive, non-square number will be both real and irrational.

### Is the square root of 5 real?

It is a real but an irrational number

### What real number subsets are square root numbers in?

if there is no integer answer, they are irrationalex. sq root 5 is irrational but sq root 9 = 3 so it is rational,integer, counting numberif you are taking sq root of a negative they are imaginary ex. sqroot (-9)=========================The square roots of all positive real numbers are real numbers.The square roots of all negative real numbers are imaginary numbers.Some square roots are rational, but the vast majority are irrational.

### Can a real number be an irrational number?

It certainly can! All irrational numbers (numbers that can't be written as fractions, and in decimal form go endlessly without a pattern) are real (not divided by zero and not connected to the square root of a negative number).

### Is the square root of 95 rational irrational or not a real number?

Since 95 is positive, its square root is real. Only negative numbers have non-real square roots. That leaves the question of whether it is rational or irrational. An integer's square root can only be rational if it is itself an integer. But 95 is not a perfect square, so it's square root is not an integer. Therefore the square root is irrational.

### Which of the folllowing indicates that the roots of a quadratic are irrational?

The discriminant is the expression inside the square root of the quadratic formula. For a quadratic ax&Acirc;&sup2; + bx + c = 0, the quadratic formula is x = (-b +- Sqrt(b&Acirc;&sup2; - 4ac))/(2a). The expression (b&Acirc;&sup2; - 4ac) is the discriminant. This can tell a lot about the type of roots. First, if the discriminant is a negative number, then it will have two complex roots. Because you have a real number plus sqrt(negative) and real number minus sqrt(negative). You asked about irrational. If the discrimiant is a perfect square number {like 1, 4, 9, 16, etc.} then the quadratic will have two distinct rational roots (which are real numbers). If the discriminant is zero, then you will have a double root, which is a real rational number. So if the discrimiant is positive, but not a perfect square, then the roots will be irrational real numbers. If the discriminant is a negative number which is not the negative of a perfect square, then imaginary portion of the complex number will be irrational.

### Is the square root of negative 11 a real number?

No. In general, the square root of a negative number is an imaginary number, which is not a real number.

### What number is both real and irrational?

All irrational numbers are Real numbers - it's part of the definition of an irrational number. Imaginary numbers are neither rational nor irrational. An example of a number that is both Real and irrational is the square root of two. Another example is the number pi.

### Why is square root of the number -9 not a real number?

For the same reason that the square root of ANY negative number is not a real number.Real numbers are positive, negative, or zero. * The square of a positive number is a positive number. * The square of a negative number is a positive number. * The square of zero is zero. In other words, in no case will you get a REAL number whose square is a negative number. The square roots of negative numbers are said to be "imaginary" - a name given for historical reasons. They are just as "real" or "unreal" as the so-called real numbers, but the point is that they are a different kind of numbers.

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