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Sixth Root Calculator

6th 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)=0.00000000000000000000
Sixth root of 1 (6√1)=1.00000000000000000000
Sixth root of 2 (6√2)=1.12246204830937301722
Sixth root of 3 (6√3)=1.20093695517600274059
Sixth root of 4 (6√4)=1.25992104989487319067
Sixth root of 5 (6√5)=1.30766048601183060285
Sixth root of 6 (6√6)=1.34800615459727768375
Sixth root of 7 (6√7)=1.38308755426848839498
Sixth root of 8 (6√8)=1.41421356237309492343
Sixth root of 9 (6√9)=1.44224957030740830177
Sixth root of 10 (6√10)=1.46779926762206947011
Sixth root of 11 (6√11)=1.49130147541310886794
Sixth root of 12 (6√12)=1.51308574942290152698
Sixth root of 13 (6√13)=1.53340623701638745224
Sixth root of 14 (6√14)=1.55246328915540865445
Sixth root of 15 (6√15)=1.57041780247501971957
Sixth root of 16 (6√16)=1.58740105196819936140
Sixth root of 17 (6√17)=1.60352162151254917788
Sixth root of 18 (6√18)=1.61887040686056660199
Sixth root of 19 (6√19)=1.63352430307049445446
Sixth root of 20 (6√20)=1.64754897244206555129
Sixth root of 21 (6√21)=1.66100095616502296814
Sixth root of 22 (6√22)=1.67392930873898815314
Sixth root of 23 (6√23)=1.68637687954133341783
Sixth root of 24 (6√24)=1.69838132956495280190
Sixth root of 25 (6√25)=1.70997594667669683410
Sixth root of 26 (6√26)=1.72119030569178210754
Sixth root of 27 (6√27)=1.73205080756887719318
Sixth root of 28 (6√28)=1.74258112347048643720
Sixth root of 29 (6√29)=1.75280256323575911459
Sixth root of 30 (6√30)=1.76273438326761500150
Sixth root of 31 (6√31)=1.77239404546263146223
Sixth root of 32 (6√32)=1.78179743628067854821
Sixth root of 33 (6√33)=1.79095905313209957654
Sixth root of 34 (6√34)=1.79989216379134320256
Sixth root of 35 (6√35)=1.80860894341164568644
Sixth root of 36 (6√36)=1.81712059283213966943
Sixth root of 37 (6√37)=1.82543744117566331120
Sixth root of 38 (6√38)=1.83356903518764813299
Sixth root of 39 (6√39)=1.84152421733035231988
Sixth root of 40 (6√40)=1.84931119429732371273
Sixth root of 41 (6√41)=1.85693759733135088652
Sixth root of 42 (6√42)=1.86441053550081869972
Sixth root of 43 (6√43)=1.87173664290324870407
Sixth root of 44 (6√44)=1.87892212061225749586
Sixth root of 45 (6√45)=1.88597277405853946952
Sixth root of 46 (6√46)=1.89289404643153402752
Sixth root of 47 (6√47)=1.89969104860203374940
Sixth root of 48 (6√48)=1.90636858599387304380
Sixth root of 49 (6√49)=1.91293118277238893832
Sixth root of 50 (6√50)=1.91938310366648434702
Sixth root of 51 (6√51)=1.92572837369816762809
Sixth root of 52 (6√52)=1.93197079605703359029
Sixth root of 53 (6√53)=1.93811396832618476616
Sixth root of 54 (6√54)=1.94416129723966557563
Sixth root of 55 (6√55)=1.95011601212886587220
Sixth root of 56 (6√56)=1.95598117719593056485
Sixth root of 57 (6√57)=1.96175970273548161416
Sixth root of 58 (6√58)=1.96745435541152935421
Sixth root of 59 (6√59)=1.97306776768393343779
Sixth root of 60 (6√60)=1.97860244646792637901
Sixth root of 61 (6√61)=1.98406078110076378174
Sixth root of 62 (6√62)=1.98944505068132126979
Sixth root of 63 (6√63)=1.99475743084125189952
Sixth root of 64 (6√64)=2.00000000000000000000
Sixth root of 65 (6√65)=2.00517474515042160021
Sixth root of 66 (6√66)=2.01028356721687151420
Sixth root of 67 (6√67)=2.01532828602331681722
Sixth root of 68 (6√68)=2.02031064490522060950
Sixth root of 69 (6√69)=2.02523231499557798685
Sixth root of 70 (6√70)=2.03009489921248675870
Sixth root of 71 (6√71)=2.03489993597298379768
Sixth root of 72 (6√72)=2.03964890265550558013
Sixth root of 73 (6√73)=2.04434321883122915864
Sixth root of 74 (6√74)=2.04898424928265532330
Sixth root of 75 (6√75)=2.05357330682611527450
Sixth root of 76 (6√76)=2.05811165495336823028
Sixth root of 77 (6√77)=2.06260051030610513934
Sixth root of 78 (6√78)=2.06704104499594221167
Sixth root of 79 (6√79)=2.07143438878140839776
Sixth root of 80 (6√80)=2.07578163111242686156
Sixth root of 81 (6√81)=2.08008382305190409056
Sixth root of 82 (6√82)=2.08434197908323382009
Sixth root of 83 (6√83)=2.08855707881178975782
Sixth root of 84 (6√84)=2.09273006856782384233
Sixth root of 85 (6√85)=2.09686186291757881150
Sixth root of 86 (6√86)=2.10095334608889006134
Sixth root of 87 (6√87)=2.10500537331704551391
Sixth root of 88 (6√88)=2.10901877211622545971
Sixth root of 89 (6√89)=2.11299434348143444495
Sixth root of 90 (6√90)=2.11693286302545846667
Sixth root of 91 (6√91)=2.12083508205504145394
Sixth root of 92 (6√92)=2.12470172859015704603
Sixth root of 93 (6√93)=2.12853350832997056941
Sixth root of 94 (6√94)=2.13233110556881921838
Sixth root of 95 (6√95)=2.13609518406529952372
Sixth root of 96 (6√96)=2.13982638786732559666
Sixth root of 97 (6√97)=2.14352534209582890057
Sixth root of 98 (6√98)=2.14719265368956735429
Sixth root of 99 (6√99)=2.15082891211336058035
Sixth root of 100 (6√100)=2.15443469003188381450

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