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Why is it possible to find a real cube root of a negative number but not a real square root of a negative number?
You cannot get real square root of a negative number because two numbers multiplied by themselves are always positive You can always get a real cube root of a negative number because three negative numbers multiplied by themselves give a negative .
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.
How many real cube roots does any positive number have?
there is no cube roots in negative
Is the square root of 7 a real number?
The square root of seven is a real number, but it is not a whole number.
Is the square root of 81 a real number?
Yes. It's 9. The square root of every positive real number is a real number.
