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 : [ √ ]4 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: [ √ ] 144 12
2. Evaluate: `root(2)((8)(2))`
Keystrokes: [ √ ] 82 4
3. Evaluate: `root(2)(625)`
Keystrokes : [ √ ] 625 25
4.Evaluate: `root()(((16)(7^2)))`
Keystrokes: [ √ ] 16 x 72 28
5. Evaluate: `root()(1089)`
Keystroke : [ √ ] 1089 33
6. Evaluate: `sqrt(676)`
Keystrokes : [ √ ] 676 26
Tabulate the above expressions values by using square root property calculator.
Expression | Value |
`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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