# Seventh Root Calculator

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### What is a seventh root?

The seventh root of a number is the number that would have to be multiplied by itself 7 times to get the original number.
For example, the seventh root of 2,187 is 3 as 3 x 3 x 3 x 3 x 3 x 3 x 3 is 2,187.
The seventh root of 16,384 is 4, as 4 x 4 x 4 x 4 x 4 x 4 x 4 is 16,384.

### How to calculate seventh root

Even for perfect seventh root numbers, seventh root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the seventh root of 2,097,152
1) Try a number – 5 : 5 x 5 x 5 x 5 x 5 x 5 x 5 = 78,125 (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 = 279,936(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 = 10,000,000 (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 = 2,097,152(answer)
A seventh root can also be calculated as the same number to the exponent 1/7.
7√number = number1/7

### Table – Seventh Root (7√) of 1 – 100

 Seventh root of 0 (7√0) = 0 Seventh root of 1 (7√1) = 1 Seventh root of 2 (7√2) = 1.10409 Seventh root of 3 (7√3) = 1.16993 Seventh root of 4 (7√4) = 1.21901 Seventh root of 5 (7√5) = 1.2585 Seventh root of 6 (7√6) = 1.29171 Seventh root of 7 (7√7) = 1.32047 Seventh root of 8 (7√8) = 1.3459 Seventh root of 9 (7√9) = 1.36874 Seventh root of 10 (7√10) = 1.3895 Seventh root of 11 (7√11) = 1.40854 Seventh root of 12 (7√12) = 1.42616 Seventh root of 13 (7√13) = 1.44256 Seventh root of 14 (7√14) = 1.45792 Seventh root of 15 (7√15) = 1.47236 Seventh root of 16 (7√16) = 1.48599 Seventh root of 17 (7√17) = 1.49892 Seventh root of 18 (7√18) = 1.51121 Seventh root of 19 (7√19) = 1.52293 Seventh root of 20 (7√20) = 1.53413 Seventh root of 21 (7√21) = 1.54486 Seventh root of 22 (7√22) = 1.55516 Seventh root of 23 (7√23) = 1.56507 Seventh root of 24 (7√24) = 1.57461 Seventh root of 25 (7√25) = 1.58382 Seventh root of 26 (7√26) = 1.59272 Seventh root of 27 (7√27) = 1.60133 Seventh root of 28 (7√28) = 1.60967 Seventh root of 29 (7√29) = 1.61776 Seventh root of 30 (7√30) = 1.62561 Seventh root of 31 (7√31) = 1.63325 Seventh root of 32 (7√32) = 1.64067 Seventh root of 33 (7√33) = 1.6479 Seventh root of 34 (7√34) = 1.65494 Seventh root of 35 (7√35) = 1.66181 Seventh root of 36 (7√36) = 1.66851 Seventh root of 37 (7√37) = 1.67505 Seventh root of 38 (7√38) = 1.68145 Seventh root of 39 (7√39) = 1.6877 Seventh root of 40 (7√40) = 1.69381 Seventh root of 41 (7√41) = 1.6998 Seventh root of 42 (7√42) = 1.70566 Seventh root of 43 (7√43) = 1.7114 Seventh root of 44 (7√44) = 1.71703 Seventh root of 45 (7√45) = 1.72256 Seventh root of 46 (7√46) = 1.72797 Seventh root of 47 (7√47) = 1.73329 Seventh root of 48 (7√48) = 1.73851 Seventh root of 49 (7√49) = 1.74364 Seventh root of 50 (7√50) = 1.74868 Seventh root of 51 (7√51) = 1.75363 Seventh root of 52 (7√52) = 1.7585 Seventh root of 53 (7√53) = 1.7633 Seventh root of 54 (7√54) = 1.76801 Seventh root of 55 (7√55) = 1.77265 Seventh root of 56 (7√56) = 1.77722 Seventh root of 57 (7√57) = 1.78172 Seventh root of 58 (7√58) = 1.78615 Seventh root of 59 (7√59) = 1.79052 Seventh root of 60 (7√60) = 1.79482 Seventh root of 61 (7√61) = 1.79907 Seventh root of 62 (7√62) = 1.80325 Seventh root of 63 (7√63) = 1.80738 Seventh root of 64 (7√64) = 1.81145 Seventh root of 65 (7√65) = 1.81546 Seventh root of 66 (7√66) = 1.81943 Seventh root of 67 (7√67) = 1.82334 Seventh root of 68 (7√68) = 1.8272 Seventh root of 69 (7√69) = 1.83102 Seventh root of 70 (7√70) = 1.83479 Seventh root of 71 (7√71) = 1.83851 Seventh root of 72 (7√72) = 1.84218 Seventh root of 73 (7√73) = 1.84582 Seventh root of 74 (7√74) = 1.84941 Seventh root of 75 (7√75) = 1.85296 Seventh root of 76 (7√76) = 1.85647 Seventh root of 77 (7√77) = 1.85994 Seventh root of 78 (7√78) = 1.86337 Seventh root of 79 (7√79) = 1.86676 Seventh root of 80 (7√80) = 1.87012 Seventh root of 81 (7√81) = 1.87344 Seventh root of 82 (7√82) = 1.87673 Seventh root of 83 (7√83) = 1.87998 Seventh root of 84 (7√84) = 1.8832 Seventh root of 85 (7√85) = 1.88639 Seventh root of 86 (7√86) = 1.88954 Seventh root of 87 (7√87) = 1.89267 Seventh root of 88 (7√88) = 1.89576 Seventh root of 89 (7√89) = 1.89882 Seventh root of 90 (7√90) = 1.90186 Seventh root of 91 (7√91) = 1.90486 Seventh root of 92 (7√92) = 1.90784 Seventh root of 93 (7√93) = 1.91079 Seventh root of 94 (7√94) = 1.91371 Seventh root of 95 (7√95) = 1.9166 Seventh root of 96 (7√96) = 1.91947 Seventh root of 97 (7√97) = 1.92231 Seventh root of 98 (7√98) = 1.92513 Seventh root of 99 (7√99) = 1.92793 Seventh root of 100 (7√100) = 1.9307