x2 + y2 = (x + y)2
=> x2 + y2 = x2 + 2xy + y2
=> 2xy = 0
=> xy = 0
So, one of x and y must be 0.
Value
If you replace variables in an expression by numbers (in case there are any variables) and then do the indicated operations, you get a number. That final number is the "value" of the expression.
36.5 is not an exponential expression! Its value is 36.536.5 is not an exponential expression! Its value is 36.536.5 is not an exponential expression! Its value is 36.536.5 is not an exponential expression! Its value is 36.5
This is called algebra. In algebra you can have many operations. You can add, subtract, multiply, divide, square, cube, square root, factor, or distribute. There are others but these are the main ones. You use these operations to find the numerical value of the variable.
For example, x0.5 (which is equal to the square root of x).
Value
The root mean square value is a way to find the average value of a set of numbers by taking the square root of the mean of the squares of the numbers. It is commonly used in physics and engineering to represent the effective or "rms" value of a varying quantity, such as voltage or current in an electrical circuit. The intuition behind the root mean square value is that it gives a single value that represents the overall magnitude of the set of numbers, taking into account both the positive and negative values.
Under remarks idicate whether the expression is a perfect square or not
No.
Evaluating the expression
The value of the expression 4.23 is simply 4.23 itself. In mathematics, an expression typically consists of numbers, symbols, and operators, but in this case, the expression is already a numerical value. Therefore, the value of the expression 4.23 is 4.23.
Double verticle lines surrounding an expression means to take the absolute value of the expression. The absolute value of an expression is the expression if it is positive, and the negative of the expression if it is negative, i.e. the unsigned distance from zero. Analytically, in order to process the expression, the absolute value of an expression is also the square root of the square of the expression.
stooped
Paris is not a numerical value of algebraic expression and so does not have a square root.
yes
Consider this expression: x2-5x+6 And you know that it is a perfect square trinomial. Therefore, you also know that there will be two parenthetical expressions that, when multiplied, will yield x2-5x+6. Keep this in mind throughout the process. Start with the "skeleton". Draw your parentheses. ( )( ) Take the square root of the first number in the expression. In this case, x2. (x )(x ) So now you're all set with the first value in the expression. Once you're sure that the square root is correct, you don't need to go back. ***(This is only true as long as there is no numerical value in front of the variable) Next, think of numbers that, when added, will equal the middle value and that, when multiplied, will equal the third value. In this case, numbers that equal -5 when added, and 6 when multiplied. (You don't need to worry about the variable for the middle value. It does make its way into the unsimplified expression). -2 and -3 are the values So insert the values in the expression. (x-2)(x-3) Multiply the expression out to check the simplification And done!
The square of number returns to its original value when square rooted as for example 3 squared is 9 and its square root is 3