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What does this question mean? -60 has a real cube root, a real fifth root. In fact a real nth root for all odd n.
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Is the square root a real number?
The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.
How many real cube roots does any positive number have?
there is no cube roots in negative
How many real cube roots does negative 1 have?
Any real number - positive or negative - has exactly one real cube root. Any real number (except zero) has three cubic roots in the complex numbers; but only one of them is real.
What can be determined from roots of real numbers?
The short answer is "Nothing". In the complex domain, the number of nth roots of any real number is n. Every non-negative real number has 2 square roots. Every real number has 3 cube roots. Every non-negative real number has 2 real square roots and 2 imaginary ones. and so on. So what?
Real square roots of -196?
None. The square of any real number must be non-negative.
The real fourth roots of -16?
there are no real answers to an even root (2,4,6,8) of any negative number. the innovation of i allows you to find the unreal answers. i= the fourth root of positive 16 is 2. so, the roots of -16 are positive and negative 2i. post script: you cannot have a real even root of a negative because a negative multiplied by a negative turns into a positive.
Can you cube root negative two?
yes, you can find a real root to the cube root of any negative real number. There will also be two complex roots which satisfy it, as well.
What is the square root of negative 72?
There is no real number multiplied by itself that equals -72, or any negative number, for that matter. In fact there are no even roots of negative numbers. However, odd roots of negative numbers are entirely possible. For instance, the cube root of -64 is -4 ... rather, ( -4 ) ( -4 ) ( -4 ) = -64
Explain why the roots of a quadratic equation are imaginary if the value of the discriminant is less than 0?
The square of any real number is non-negative. So no real number can have a negative square. Consequently, a negative number cannot have a real square root. If the discriminant is less than zero, the quadratic equation requires the square root of that negative value, which cannot be real and so must be imaginary.
Is -18 equivalent to the square root of -324?
306
Are there any square roots of negative numbers?
imaginary numbers. but no, not really.
Are fractions real numbers?
Yes. A real number is any number that could be plotted on a number line. For example, 3/4 could be plotted on a number line, and so it is real. Only square roots of negative numbers are not real: they are called imaginary.
