Tenth Root Calculator

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What is a tenth root?

The tenth root of a number is the number that would have to be multiplied by itself 10 times to get the original number.
For example, the tenth root of 59,049 is 3 as 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 is 59,049.
The ninth root of 690,432 is 4, as 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 is 690,432.

How to calculate tenth root

Even for perfect tenth root numbers, ninth root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the tenth root of 1,073,741,824
1) Try a number – 5 : 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 9,765,625 (too low)
2) Try another number that is more than 5 – 6 : 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 = 60,466,176 (too low)
3) Try a number that is more than 6 – 10 – 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000,000 (too high)
4) Try a number in between 6 and 10 – 8 – 8 x 8 x 8 x 8 x 8 x 8 x 8 x 8 x 8 = 1,073,741,824 (answer)
An ninth root can also be calculated as the same number to the exponent 1/10.
10√number = number1/10

Table – Tenth Root (10√) of 1 – 100

 Tenth root of 0 (10√0) = 0 Tenth root of 1 (10√1) = 1 Tenth root of 2 (10√2) = 1.07177 Tenth root of 3 (10√3) = 1.11612 Tenth root of 4 (10√4) = 1.1487 Tenth root of 5 (10√5) = 1.17462 Tenth root of 6 (10√6) = 1.19623 Tenth root of 7 (10√7) = 1.21481 Tenth root of 8 (10√8) = 1.23114 Tenth root of 9 (10√9) = 1.24573 Tenth root of 10 (10√10) = 1.25893 Tenth root of 11 (10√11) = 1.27098 Tenth root of 12 (10√12) = 1.28209 Tenth root of 13 (10√13) = 1.29239 Tenth root of 14 (10√14) = 1.30201 Tenth root of 15 (10√15) = 1.31102 Tenth root of 16 (10√16) = 1.31951 Tenth root of 17 (10√17) = 1.32753 Tenth root of 18 (10√18) = 1.33514 Tenth root of 19 (10√19) = 1.34238 Tenth root of 20 (10√20) = 1.34928 Tenth root of 21 (10√21) = 1.35588 Tenth root of 22 (10√22) = 1.3622 Tenth root of 23 (10√23) = 1.36827 Tenth root of 24 (10√24) = 1.37411 Tenth root of 25 (10√25) = 1.37973 Tenth root of 26 (10√26) = 1.38515 Tenth root of 27 (10√27) = 1.39039 Tenth root of 28 (10√28) = 1.39545 Tenth root of 29 (10√29) = 1.40036 Tenth root of 30 (10√30) = 1.40512 Tenth root of 31 (10√31) = 1.40973 Tenth root of 32 (10√32) = 1.41421 Tenth root of 33 (10√33) = 1.41857 Tenth root of 34 (10√34) = 1.42281 Tenth root of 35 (10√35) = 1.42694 Tenth root of 36 (10√36) = 1.43097 Tenth root of 37 (10√37) = 1.4349 Tenth root of 38 (10√38) = 1.43873 Tenth root of 39 (10√39) = 1.44247 Tenth root of 40 (10√40) = 1.44613 Tenth root of 41 (10√41) = 1.4497 Tenth root of 42 (10√42) = 1.4532 Tenth root of 43 (10√43) = 1.45662 Tenth root of 44 (10√44) = 1.45997 Tenth root of 45 (10√45) = 1.46326 Tenth root of 46 (10√46) = 1.46648 Tenth root of 47 (10√47) = 1.46964 Tenth root of 48 (10√48) = 1.47273 Tenth root of 49 (10√49) = 1.47577 Tenth root of 50 (10√50) = 1.47876 Tenth root of 51 (10√51) = 1.48169 Tenth root of 52 (10√52) = 1.48457 Tenth root of 53 (10√53) = 1.4874 Tenth root of 54 (10√54) = 1.49018 Tenth root of 55 (10√55) = 1.49292 Tenth root of 56 (10√56) = 1.49561 Tenth root of 57 (10√57) = 1.49826 Tenth root of 58 (10√58) = 1.50087 Tenth root of 59 (10√59) = 1.50344 Tenth root of 60 (10√60) = 1.50597 Tenth root of 61 (10√61) = 1.50846 Tenth root of 62 (10√62) = 1.51091 Tenth root of 63 (10√63) = 1.51333 Tenth root of 64 (10√64) = 1.51572 Tenth root of 65 (10√65) = 1.51807 Tenth root of 66 (10√66) = 1.52039 Tenth root of 67 (10√67) = 1.52268 Tenth root of 68 (10√68) = 1.52493 Tenth root of 69 (10√69) = 1.52716 Tenth root of 70 (10√70) = 1.52936 Tenth root of 71 (10√71) = 1.53153 Tenth root of 72 (10√72) = 1.53367 Tenth root of 73 (10√73) = 1.53579 Tenth root of 74 (10√74) = 1.53788 Tenth root of 75 (10√75) = 1.53995 Tenth root of 76 (10√76) = 1.54199 Tenth root of 77 (10√77) = 1.54401 Tenth root of 78 (10√78) = 1.546 Tenth root of 79 (10√79) = 1.54797 Tenth root of 80 (10√80) = 1.54992 Tenth root of 81 (10√81) = 1.55185 Tenth root of 82 (10√82) = 1.55375 Tenth root of 83 (10√83) = 1.55564 Tenth root of 84 (10√84) = 1.5575 Tenth root of 85 (10√85) = 1.55934 Tenth root of 86 (10√86) = 1.56117 Tenth root of 87 (10√87) = 1.56297 Tenth root of 88 (10√88) = 1.56476 Tenth root of 89 (10√89) = 1.56653 Tenth root of 90 (10√90) = 1.56828 Tenth root of 91 (10√91) = 1.57002 Tenth root of 92 (10√92) = 1.57173 Tenth root of 93 (10√93) = 1.57343 Tenth root of 94 (10√94) = 1.57512 Tenth root of 95 (10√95) = 1.57678 Tenth root of 96 (10√96) = 1.57844 Tenth root of 97 (10√97) = 1.58007 Tenth root of 98 (10√98) = 1.58169 Tenth root of 99 (10√99) = 1.5833 Tenth root of 100 (10√100) = 1.58489