Difference between revisions of "Manuals/calci/SQRT"
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| − | <div style="font-size:30px">'''SQRT( | + | <div style="font-size:30px">'''SQRT(Value)'''</div><br/> |
| − | *<math> | + | *<math>Value</math> is any positive number. |
| − | + | **SQRT(), returns a positive square root. | |
==Description== | ==Description== | ||
| Line 8: | Line 8: | ||
*The square root of a number is the inverse operation of squaring that number. | *The square root of a number is the inverse operation of squaring that number. | ||
*The root of a number is an equal factor of the number. | *The root of a number is an equal factor of the number. | ||
| − | *Every non-negative real number a has only one non-negative square root, called the principal square root, which is denoted by <math>\sqrt{a}</math>, where <math>\sqrt</math> | + | *Every non-negative real number a has only one non-negative square root, called the principal square root, which is denoted by <math>\sqrt{a}</math>, where <math>\sqrt{}</math> is called the radical sign or radix. |
*Square roots of positive whole numbers that are not perfect squares are always irrational numbers. | *Square roots of positive whole numbers that are not perfect squares are always irrational numbers. | ||
*Numbers not expressible as a ratio of two integers . | *Numbers not expressible as a ratio of two integers . | ||
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#=1..10@SQRT | #=1..10@SQRT | ||
{| class="wikitable" | {| class="wikitable" | ||
| − | |+ | + | |+1..10@SQRT |
|- | |- | ||
| − | + | ! Number !! Square Root | |
|- | |- | ||
| 1 || 1 | | 1 || 1 | ||
|- | |- | ||
| − | | 2 || 1. | + | | 2 || 1.4142135623730951 |
|- | |- | ||
| − | |3 || 1. | + | |3 || 1.7320508075688772 |
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| − | + | |4 || 2 | |
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| − | | 4 || 2 | ||
|- | |- | ||
| 5 || 2.23606797749979 | | 5 || 2.23606797749979 | ||
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|} | |} | ||
| − | =See Also= | + | ==Related Videos== |
| − | *[[ | + | |
| − | *[[ | + | {{#ev:youtube|ROIfbUQrSY4|280|center|SQRT}} |
| + | |||
| + | ==See Also== | ||
| + | *[[Manuals/calci/SQRTPI | SQRTPI ]] | ||
| + | *[[Manuals/calci/POWER | POWER ]] | ||
| − | =References= | + | ==References== |
*[http://en.wikipedia.org/wiki/Square_root Square Root] | *[http://en.wikipedia.org/wiki/Square_root Square Root] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 14:20, 22 April 2019
SQRT(Value)
- is any positive number.
- SQRT(), returns a positive square root.
is any positive number.
Description
- This function gives the square root of a positive real number.
- Squaring is the value that can be multiplied by itself to give the original number.
- The square root of a number is the inverse operation of squaring that number.
- The root of a number is an equal factor of the number.
- Every non-negative real number a has only one non-negative square root, called the principal square root, which is denoted by , where is called the radical sign or radix.
- Square roots of positive whole numbers that are not perfect squares are always irrational numbers.
- Numbers not expressible as a ratio of two integers .
, where 
is called the radical sign or radix.This function will give the result as NaN when n is a negative number.
Examples
- =SQRT(0)=0
- =SQRT(1)=1
- =SQRT(136)= 11.661903789690601
- =SQRT(ABS(-625))= 25
- =1..10@SQRT
| Number | Square Root |
|---|---|
| 1 | 1 |
| 2 | 1.4142135623730951 |
| 3 | 1.7320508075688772 |
| 4 | 2 |
| 5 | 2.23606797749979 |
| 6 | 2.449489742783178 |
| 7 | 2.6457513110645907 |
| 8 | 2.8284271247461903 |
| 9 | 3 |
| 10 | 3.1622776601683795 |
Related Videos
See Also
References