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Is the square root of any real number always a real number?
No, it is not, because real numbers include negative numbers. The square root of a negative number is an imaginary number
What is the square root of -8x3?
-8x3 = -24 which has no square root in Real numbers. The square root of -24 is ±4.898979*i where i is the imaginary square root of -1.
Is the square root of 8 a real number or a rational number or an irrational number or integers or a whole number?
The square root of 8 is irrational and real.
Square root of 6 belongs to what family of real numbers?
irrational
Why cant you evaluate square root -25?
You cannot in real numbers because the square of any number, negative or positive, is positive. However, -25 does have a square root in complex numbers: it is + or - 5i where i is the imaginary square root of -1.
Are real numbers closed under the square root operation?
No. Negative numbers are real but their square roots are not.
Is non-real numbers exist?
no, every number is a real number --- There are numbers that are not real numbers. They are called imaginary numbers, and have the property that when they are squared, the result is negative. The square root of -1 is called i, and the square root of any other negative number is i times the square root of the absolute value of the number. So the square root of -4 is 2i.
Is the square root of any real number always a real number?
No, it is not, because real numbers include negative numbers. The square root of a negative number is an imaginary number
Is the square root of -4 irrational?
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.
What is the square root of -8x3?
-8x3 = -24 which has no square root in Real numbers. The square root of -24 is ±4.898979*i where i is the imaginary square root of -1.
Is the square root of 400 a real numbers?
Yes, they are.
What is a number that is not real?
i, which is *defined* as the square root of -1, is imaginary, not real. The square root of -1 is i, the square root of -4 is 2i, the square root of -9 is 3i, etc. i, 2i, 3i, 4i, 5i, etc. = non-real numbers. 'Real' numbers are all of the numbers in the world: integers, rational numbers, irrational numbers, positive, negative, etc. Non-real (imaginary) numbers are numbers that exist only in theory such as the square root of a negative number, or the roots of an equation that never reaches the x-axis. (They are noted with the lowercase letter i for imaginary). This concept is very distant to most people outside of math classes.
Is the square root of negative 3 an irrational or a real number?
The square root of a negative number is considered an imaginary number, denoted as "i". In this case, the square root of -3 would be √(-3) = √3 * i. Therefore, the square root of -3 is not a real number, as real numbers are those that can be represented on the number line without involving "i".
Are square roots real numbers?
Yes, if the number whose square root we are taking is greater than 0. Only if you try to take the square root of a negative number will you get back an imaginary number. Square roots are often irrational, but that's different from real versus imaginary.
What set or sets does the square root of 30 belong to?
real numbers, irrational numbers, ...
How many square roots do negative numbers have?
Negative numbers do not have "real number" square roots.However, they will have two roots (when using imaginary numbers) as do other numbers, where a root including i(square root of -1) is positive or negative.
Is the square root of 8 a real number or a rational number or an irrational number or integers or a whole number?
The square root of 8 is irrational and real.
