11
x can be any square number, or a multiple of 5, 11 or any combination of these.
That expression can't be simplified. It has to written, and evaluated, just as it appears in the question: [ sqrt(x + 2) ] + [ sqrt(x + 3) ]
x can be any square number, or a multiple of 5, 11 or any combination of these.
There is no "general" equation. The square root of a number (or expression) is simply sqrt(x) or x1/2, where x is a number or an expression. In more basic mathematics, x must be non-negative but, once you start studying complex numbers, that is no longer a requirement.
x2 square root of x is an expression, not an equation or inequality. It, therefore, has no answer.
No. The Square root of x is not the value of x. So it can not be simplified beyond: Root X + root 3x Yes. The square root of 3x equals the square root of 3 times the square root of x, so when you add another square root of x, you can factor out the square root of x, thereby simplifying the expression to the square root of x times the sum of one plus the square root of three.
If you square an expression and then take the square root, the squaring and the square root cancel one another, EXCEPT that the sign will be positive. Thus, if you square 16x, and then take the square root, the answer can be 16x or -16x, depending on whether "x" is positive or negative. Or if you only square x, and then take the square root of the entire expression, it would be 4x or -4x (once again, depending on whether "x" is positive or negative).
4
11
5 root 2 (50 = 25 x 2)
In absence of the square root sign, you can write out the square root of expression x using the power form, x1/2 (that's x to the power of one over two).
Call this number "x". In this case:x = root(5 root(5 root(5 root(5... Since the expression inside the first root is equal to the entire expression, you get: x = root(5 x) Squaring both sides, to get rid of the rood, you get: x squared = 5x x squared - 5x = 0 x(x - 5) = 0 So, x is either equal to 0, or to 5. Indeed, if you start with any number and repeatedly multiply by 5 and then take the square root, you get closer and closer to 5... unless you start with zero, in which case you get exactly zero.
x can be any square number, or a multiple of 5, 11 or any combination of these.
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.
That expression can't be simplified. It has to written, and evaluated, just as it appears in the question: [ sqrt(x + 2) ] + [ sqrt(x + 3) ]
Generally signified with the expression: X^(1/2)