SPONSORED

Seventh Root Calculator

7th Root Calculator

3

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) = 0.00000000000000000000
Seventh root of 1 (7√1) = 1.00000000000000000000
Seventh root of 2 (7√2) = 1.10408951367381225062
Seventh root of 3 (7√3) = 1.16993081275868693325
Seventh root of 4 (7√4) = 1.21901365420447538312
Seventh root of 5 (7√5) = 1.25849895064182670801
Seventh root of 6 (7√6) = 1.29170834209074647525
Seventh root of 7 (7√7) = 1.32046924775612373182
Seventh root of 8 (7√8) = 1.34590019263235616265
Seventh root of 9 (7√9) = 1.36873810664220174615
Seventh root of 10 (7√10) = 1.38949549437313768507
Seventh root of 11 (7√11) = 1.40854388842869937548
Seventh root of 12 (7√12) = 1.42616163522737871006
Seventh root of 13 (7√13) = 1.44256291944297765362
Seventh root of 14 (7√14) = 1.45791624957628362935
Seventh root of 15 (7√15) = 1.47235670018034681128
Seventh root of 16 (7√16) = 1.48599428913694842080
Seventh root of 17 (7√17) = 1.49891987207156196504
Seventh root of 18 (7√18) = 1.51120939050940306103
Seventh root of 19 (7√19) = 1.52292699821875343602
Seventh root of 20 (7√20) = 1.53412740463439090099
Seventh root of 21 (7√21) = 1.54485766025017379199
Seventh root of 22 (7√22) = 1.55515853676346327283
Seventh root of 23 (7√23) = 1.56506560796023941329
Seventh root of 24 (7√24) = 1.57461010625844566313
Seventh root of 25 (7√25) = 1.58381960876657901238
Seventh root of 26 (7√26) = 1.59271859217167222056
Seventh root of 27 (7√27) = 1.60132888555769725691
Seventh root of 28 (7√28) = 1.60967004297182714190
Seventh root of 29 (7√29) = 1.61775965228790363781
Seventh root of 30 (7√30) = 1.62561359305649832940
Seventh root of 31 (7√31) = 1.63324625316875970960
Seventh root of 32 (7√32) = 1.64067071201527570068
Seventh root of 33 (7√33) = 1.64789889619566953805
Seventh root of 34 (7√34) = 1.65494171259150379960
Seventh root of 35 (7√35) = 1.66180916265588418668
Seventh root of 36 (7√36) = 1.66851044102682521952
Seventh root of 37 (7√37) = 1.67505402098623457086
Seventh root of 38 (7√38) = 1.68144772882406212666
Seventh root of 39 (7√39) = 1.68769880879946709840
Seventh root of 40 (7√40) = 1.69381398009645267599
Seventh root of 41 (7√41) = 1.69979948693428761786
Seventh root of 42 (7√42) = 1.70566114280087788302
Seventh root of 43 (7√43) = 1.71140436962071973426
Seventh root of 44 (7√44) = 1.71703423254084985849
Seventh root of 45 (7√45) = 1.72255547091269156645
Seventh root of 46 (7√46) = 1.72797252596043038331
Seventh root of 47 (7√47) = 1.73328956555405833129
Seventh root of 48 (7√48) = 1.73851050644475724205
Seventh root of 49 (7√49) = 1.74363903426962330023
Seventh root of 50 (7√50) = 1.74867862159013975898
Seventh root of 51 (7√51) = 1.75363254419282932339
Seventh root of 52 (7√52) = 1.75850389585006050552
Seventh root of 53 (7√53) = 1.76329560171307653249
Seventh root of 54 (7√54) = 1.76801043048722594797
Seventh root of 55 (7√55) = 1.77265100552047649707
Seventh root of 56 (7√56) = 1.77721981492006930736
Seventh root of 57 (7√57) = 1.78171922079821354323
Seventh root of 58 (7√58) = 1.78615146773566713101
Seventh root of 59 (7√59) = 1.79051869054162682282
Seventh root of 60 (7√60) = 1.79482292137928789444
Seventh root of 61 (7√61) = 1.79906609631857561382
Seventh root of 62 (7√62) = 1.80325006137067211931
Seventh root of 63 (7√63) = 1.80737657805296914049
Seventh root of 64 (7√64) = 1.81144732852781320531
Seventh root of 65 (7√65) = 1.81546392035379744456
Seventh root of 66 (7√66) = 1.81942789088428891198
Seventh root of 67 (7√67) = 1.82334071134430164562
Seventh root of 68 (7√68) = 1.82720379061365956197
Seventh root of 69 (7√69) = 1.83101847874159151530
Seventh root of 70 (7√70) = 1.83478607021542039490
Seventh root of 71 (7√71) = 1.83850780700379967669
Seventh root of 72 (7√72) = 1.84218488139298575135
Seventh root of 73 (7√73) = 1.84581843863288530549
Seventh root of 74 (7√74) = 1.84940957940805561499
Seventh root of 75 (7√75) = 1.85295936214742917869
Seventh root of 76 (7√76) = 1.85646880518529533433
Seventh root of 77 (7√77) = 1.85993888878493018879
Seventh root of 78 (7√78) = 1.86337055703527587625
Seventh root of 79 (7√79) = 1.86676471963014156685
Seventh root of 80 (7√80) = 1.87012225353859662391
Seventh root of 81 (7√81) = 1.87344400457447890496
Seventh root of 82 (7√82) = 1.87673078887227329226
Seventh root of 83 (7√83) = 1.87998339427601757201
Seventh root of 84 (7√84) = 1.88320258164734033457
Seventh root of 85 (7√85) = 1.88638908609824196283
Seventh root of 86 (7√86) = 1.88954361815377791523
Seventh root of 87 (7√87) = 1.89266686484939761215
Seventh root of 88 (7√88) = 1.89575949076731431475
Seventh root of 89 (7√89) = 1.89882213901594654182
Seventh root of 90 (7√90) = 1.90185543215615826540
Seventh root of 91 (7√91) = 1.90485997307774646004
Seventh root of 92 (7√92) = 1.90783634582936056923
Seventh root of 93 (7√93) = 1.91078511640480708245
Seventh root of 94 (7√94) = 1.91370683348847392402
Seventh root of 95 (7√95) = 1.91660202916240818283
Seventh root of 96 (7√96) = 1.91947121957740529652
Seventh root of 97 (7√97) = 1.92231490559028905807
Seventh root of 98 (7√98) = 1.92513357336942436682
Seventh root of 99 (7√99) = 1.92792769497034255366
Seventh root of 100 (7√100) = 1.93069772888325008608

More Math Calculators