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Seventh Root Calculator

7th Root Calculator

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)=1.29170834209074669729
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)=1.45791624957628340731
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)=1.56506560796023963533
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)=1.60967004297182736394
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)=1.64067071201527592272
Seventh root of 33 (7√33)=1.64789889619566953805
Seventh root of 34 (7√34)=1.65494171259150379960
Seventh root of 35 (7√35)=1.66180916265588396463
Seventh root of 36 (7√36)=1.66851044102682521952
Seventh root of 37 (7√37)=1.67505402098623457086
Seventh root of 38 (7√38)=1.68144772882406234871
Seventh root of 39 (7√39)=1.68769880879946709840
Seventh root of 40 (7√40)=1.69381398009645267599
Seventh root of 41 (7√41)=1.69979948693428739581
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)=1.74867862159013998102
Seventh root of 51 (7√51)=1.75363254419282954544
Seventh root of 52 (7√52)=1.75850389585006050552
Seventh root of 53 (7√53)=1.76329560171307631045
Seventh root of 54 (7√54)=1.76801043048722572593
Seventh root of 55 (7√55)=1.77265100552047649707
Seventh root of 56 (7√56)=1.77721981492006930736
Seventh root of 57 (7√57)=1.78171922079821332119
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)=1.84218488139298552930
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)=1.85646880518529511228
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)=1.87012225353859684596
Seventh root of 81 (7√81)=1.87344400457447890496
Seventh root of 82 (7√82)=1.87673078887227329226
Seventh root of 83 (7√83)=1.87998339427601734997
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)=1.91370683348847370198
Seventh root of 95 (7√95)=1.91660202916240818283
Seventh root of 96 (7√96)=1.91947121957740507447
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

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