# Sixth Root Calculator

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### What is a sixth root?

The sixth root of a number is the number that would have to be multiplied by itself 6 times to get the original number.
For example, the sixth root of 729 is 3 as 3 x 3 x 3 x 3 x 3 x 3 is 729.
The sixth root of 4,096 is 4, as 4 x 4 x 4 x 4 x 4 x 4 is 4,096.

### How to calculate sixth root

Even for perfect sixth root numbers, sixth root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the sixth root of 262,144
1) Try a number – 5 : 5 x 5 x 5 x 5 x 5 x 5 = 163,840 (too low)
2) Try another number that is more than 5 – 6 : 6 x 6 x 6 x 6 x 6 x 6 = 46,656(too low)
3) Try a number that is more than 6 – 10 – 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 (too high)
4) Try a number in between 6 and 10 – 8 – 8 x 8 x 8 x 8 x 8 x 8 = 262,144 (answer)
A sixth root can also be calculated as the same number to the exponent 1/6.
6√number = number1/6

### Table – Sixth Root (6√) of 1 – 100

 Sixth root of 0 (6√0) = 0 Sixth root of 1 (6√1) = 1 Sixth root of 2 (6√2) = 1.12246 Sixth root of 3 (6√3) = 1.20094 Sixth root of 4 (6√4) = 1.25992 Sixth root of 5 (6√5) = 1.30766 Sixth root of 6 (6√6) = 1.34801 Sixth root of 7 (6√7) = 1.38309 Sixth root of 8 (6√8) = 1.41421 Sixth root of 9 (6√9) = 1.44225 Sixth root of 10 (6√10) = 1.4678 Sixth root of 11 (6√11) = 1.4913 Sixth root of 12 (6√12) = 1.51309 Sixth root of 13 (6√13) = 1.53341 Sixth root of 14 (6√14) = 1.55246 Sixth root of 15 (6√15) = 1.57042 Sixth root of 16 (6√16) = 1.5874 Sixth root of 17 (6√17) = 1.60352 Sixth root of 18 (6√18) = 1.61887 Sixth root of 19 (6√19) = 1.63352 Sixth root of 20 (6√20) = 1.64755 Sixth root of 21 (6√21) = 1.661 Sixth root of 22 (6√22) = 1.67393 Sixth root of 23 (6√23) = 1.68638 Sixth root of 24 (6√24) = 1.69838 Sixth root of 25 (6√25) = 1.70998 Sixth root of 26 (6√26) = 1.72119 Sixth root of 27 (6√27) = 1.73205 Sixth root of 28 (6√28) = 1.74258 Sixth root of 29 (6√29) = 1.7528 Sixth root of 30 (6√30) = 1.76273 Sixth root of 31 (6√31) = 1.77239 Sixth root of 32 (6√32) = 1.7818 Sixth root of 33 (6√33) = 1.79096 Sixth root of 34 (6√34) = 1.79989 Sixth root of 35 (6√35) = 1.80861 Sixth root of 36 (6√36) = 1.81712 Sixth root of 37 (6√37) = 1.82544 Sixth root of 38 (6√38) = 1.83357 Sixth root of 39 (6√39) = 1.84152 Sixth root of 40 (6√40) = 1.84931 Sixth root of 41 (6√41) = 1.85694 Sixth root of 42 (6√42) = 1.86441 Sixth root of 43 (6√43) = 1.87174 Sixth root of 44 (6√44) = 1.87892 Sixth root of 45 (6√45) = 1.88597 Sixth root of 46 (6√46) = 1.89289 Sixth root of 47 (6√47) = 1.89969 Sixth root of 48 (6√48) = 1.90637 Sixth root of 49 (6√49) = 1.91293 Sixth root of 50 (6√50) = 1.91938 Sixth root of 51 (6√51) = 1.92573 Sixth root of 52 (6√52) = 1.93197 Sixth root of 53 (6√53) = 1.93811 Sixth root of 54 (6√54) = 1.94416 Sixth root of 55 (6√55) = 1.95012 Sixth root of 56 (6√56) = 1.95598 Sixth root of 57 (6√57) = 1.96176 Sixth root of 58 (6√58) = 1.96745 Sixth root of 59 (6√59) = 1.97307 Sixth root of 60 (6√60) = 1.9786 Sixth root of 61 (6√61) = 1.98406 Sixth root of 62 (6√62) = 1.98945 Sixth root of 63 (6√63) = 1.99476 Sixth root of 64 (6√64) = 2 Sixth root of 65 (6√65) = 2.00517 Sixth root of 66 (6√66) = 2.01028 Sixth root of 67 (6√67) = 2.01533 Sixth root of 68 (6√68) = 2.02031 Sixth root of 69 (6√69) = 2.02523 Sixth root of 70 (6√70) = 2.03009 Sixth root of 71 (6√71) = 2.0349 Sixth root of 72 (6√72) = 2.03965 Sixth root of 73 (6√73) = 2.04434 Sixth root of 74 (6√74) = 2.04898 Sixth root of 75 (6√75) = 2.05357 Sixth root of 76 (6√76) = 2.05811 Sixth root of 77 (6√77) = 2.0626 Sixth root of 78 (6√78) = 2.06704 Sixth root of 79 (6√79) = 2.07143 Sixth root of 80 (6√80) = 2.07578 Sixth root of 81 (6√81) = 2.08008 Sixth root of 82 (6√82) = 2.08434 Sixth root of 83 (6√83) = 2.08856 Sixth root of 84 (6√84) = 2.09273 Sixth root of 85 (6√85) = 2.09686 Sixth root of 86 (6√86) = 2.10095 Sixth root of 87 (6√87) = 2.10501 Sixth root of 88 (6√88) = 2.10902 Sixth root of 89 (6√89) = 2.11299 Sixth root of 90 (6√90) = 2.11693 Sixth root of 91 (6√91) = 2.12084 Sixth root of 92 (6√92) = 2.1247 Sixth root of 93 (6√93) = 2.12853 Sixth root of 94 (6√94) = 2.13233 Sixth root of 95 (6√95) = 2.1361 Sixth root of 96 (6√96) = 2.13983 Sixth root of 97 (6√97) = 2.14353 Sixth root of 98 (6√98) = 2.14719 Sixth root of 99 (6√99) = 2.15083 Sixth root of 100 (6√100) = 2.15443