Monday, October 1, 2012

Square Root Property Calculator

Introduction for square root property calculator:       
     When calculating square root of any real numbers, we can use a square root property calculator to support your answer. The square root representation in mathematically shown by   √. The square root property calculator is used to calculate the real value that the square root is calculated from inside of the square root symbol. The radicand is a real number; it is inside the square root symbol. The square root property calculator used to manipulate the square root value of the form is `sqrt(x)` where x is radicand that any real numbers.

Square Root Properties:
1.   Product Property of Square Roots:
          Let us take any real numbers a and b, where a ≥ 0 and b ≥ 0, the square root of the product a and b is same as the product of each square root.
       `sqrt((a).(b))` = `sqrt(a)` .`sqrt(b)`   For  example   `sqrt((5)(7)(4))` = `sqrt(5)` .`sqrt(7)` .`sqrt(4)`

2.    Quotient Property of Square Roots:
        We consider any  real numbers a and b, where a ≥ 0 and b > 0, and then the square root of the quotient  `a / b` is equal to the quotient of each square root.
           `sqrt((a)/(b))`   = `sqrt(a)`  `-:` `sqrt(b)`

Square Root Property Calculator :

 The common procedure of using square root property calculator are,
       Step 1:   Evaluate `sqrt(4)`
                       In square root property calculator, KEYSTROKES : /files/tvcs/2ndc.gif  [ √ ]4 /files/tvcs/enterr.gif 2
       Step 2:  To find a root other than a square root, choose the x√   function from the   menu.
Example:
     Evaluate the following expressions by using the square root property calculator.
Solution:
           In square root property calculator, we perform the manipulation of the expression.
1. Evaluate: `root(2)(144)`
                        Keystrokes:   /files/tvcs/2ndc.gif [ √ ] 144 /files/tvcs/enterr.gif 12
2. Evaluate: `root(2)((8)(2))` 
                        Keystrokes: /files/tvcs/2ndc.gif [ √ ]  /files/tvcs/openw.gif8/files/tvcs/closef.gif/files/tvcs/openw.gif2/files/tvcs/closef.gif  /files/tvcs/enterr.gif 4
3. Evaluate:  `root(2)(625)` 
                        Keystrokes :   /files/tvcs/2ndc.gif [ √ ] 625  /files/tvcs/enterr.gif 25
4.Evaluate:  `root()(((16)(7^2)))` 
                         Keystrokes:  /files/tvcs/2ndc.gif [ √ ] /files/tvcs/openw.gif/files/tvcs/openw.gif16/files/tvcs/closef.gif x /files/tvcs/openw.gif72/files/tvcs/closef.gif/files/tvcs/closef.gif /files/tvcs/enterr.gif 28
5. Evaluate:  `root()(1089)` 
                          Keystroke : /files/tvcs/2ndc.gif [ √ ] 1089 /files/tvcs/enterr.gif 33
6. Evaluate:  `sqrt(676)`
                          Keystrokes : /files/tvcs/2ndc.gif [ √ ] 676 /files/tvcs/enterr.gif  26
Tabulate the above expressions values by using square root property calculator.


ExpressionValue
`root(2)(144)`12
`root(2)((8)(2))`4
`root()(625)`25
`root()((16)(7^2))`28
`root()(1089)`33
`root()((676))`26

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