Only if the term under the radical (square root sign) can be simplified to a rational expression. For example, √(4x2).
The details depend on the specific radical expression. Normally, you'll want to: * Avoid a perfect square under a radical sign. Take it out, by separating the radical into two parts. Example: root (x squared y) = root (x squared) x root (y) = x root (y). * Avoid a radical sign in the denominator. If you multiply numerator and denominator by the same square root, you get an expression in which there are roots in the numerator, but not in the denominator.
You don't. If the negative sign is outside the radical, then you take the square root of the number and apply the negative. If the negative sign is inside the radical, you will have an imaginary number.
The discriminant.
* If "a" is positive, "-a" is negative.* If "a" is negative, "-a" is positive. * If "a" is zero, "-a" is zero. If you want to force a negative number, you can write -|a|, i.e., the negative of the absolute value.
It is not an equation because it has no equality sign but it is an expression that can be simplified as: 67+a
12. Absolute value basically means to take off the negative sign of the expression, if there is a negative sign.
Suppose the expression under the radical sign is y. Then the first step is to simplify y. Next find a term (or expression) x, such that y = x^2*z for some term (or expression) z. Then x*sqrt(z) is a simplification of sqrt(y).
Negative square root is -√Square root of negative one is i.
No.
6
I'm not quite sure, but when the number inside the radical (square root sign) is negative, there is a no real-number solution.