A number’s fifth root is a number that, when multiplied by itself five times, returns the original number. Use this fifth root calculator to find the 5√ of any number.
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We will use a basic example to illustrate the above definition: Let’s find the fifth root of 3125.
The number 5 If we multiply five times, we get a product value of 3125 (5 x 5 x 5 x 5 x 5 = 3125). Hence, the number 5 is the fifth root of 3125.
How to Use Fifth Root Calculator?
- Using this 5th root calculator, it is simple to determine the fifth root of any number.
- You only need to enter the number you want to find the fifth root of, and the calculator will show you the results immediately.
How is the Fifth Root Calculated?
Without a calculator, it might be difficult to find a number’s fifth root. If the numbers are big, doing this could take you minutes or hours. Therefore, in order to save time, we advise using the fifth root calculator above.
Continue reading if you still want to understand how to manually find the fifth root.
Example
1. Find the 5th root of 7776?
Solution :
To find the fifth root of the number, we have to find a number that can be multiplied five times to get the product value of 7776.
This is something like a trial and error method.
First Try : Let’s take number 4
We get, 4 x 4 x 4 x 4 x 4 = 1024.
Second Try : Let’s take number 5
We get, 5 x 5 x 5 x 5 x 5 = 3125.
Third Try : Let’s take number 7
We get, 7 x 7 x 7 x 7 x 7 = 16807. We are close enough…..
Fourth Try : Let’s take number 6
We get, 6 x 6 x 6 x 6 x 6 = 7776. Yippee Finally the fifth root of 7776 have been found.
Fifth Root (5√) Table Calculation
Fifth Root of (5√) | 5√root |
5√1 | 1 |
5√5 | 1.379729661461215 |
5√10 | 1.5848931924611136 |
5√15 | 1.7187719275874789 |
5√20 | 1.8205642030260802 |
5√25 | 1.9036539387158786 |
5√30 | 1.97435048583482 |
5√35 | 2.0361680046403983 |
5√40 | 2.0912791051825463 |
5√45 | 2.141127368338324 |
5√50 | 2.1867241478865562 |
5√60 | 2.2679331552660544 |
5√70 | 2.3389428374280206 |
5√80 | 2.4022488679628626 |
5√90 | 2.4595094858493636 |
5√100 | 2.51188643150958 |
5√105 | 2.536517481635736 |
5√110 | 2.5602273756445477 |
5√115 | 2.5830901781308797 |
5√120 | 2.605171084697352 |
Fifth Root of (5√) | 5√root |
5√1024 | 4 |
5√3125 | 5 |
5√7776 | 6 |
5√16807 | 7 |
5√32768 | 8 |
5√59049 | 9 |
5√100000 | 10 |
5√759375 | 15 |
5√3200000 | 20 |
5√9765625 | 25 |
5√24300000 | 30 |
5√52521875 | 35 |
5√102400000 | 40 |
5√184528125 | 45 |
5√312500000 | 50 |
5√503284375 | 55 |
5√777600000 | 60 |
5√1160290625 | 65 |
5√1680700000 | 70 |
5√2373046875 | 75 |