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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) = 1.41421356237309514547
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) = 1.64754897244206577334
Sixth root of 21 (6√21) = 1.66100095616502296814
Sixth root of 22 (6√22) = 1.67392930873898815314
Sixth root of 23 (6√23) = 1.68637687954133363988
Sixth root of 24 (6√24) = 1.69838132956495280190
Sixth root of 25 (6√25) = 1.70997594667669705615
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) = 1.79095905313209935450
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) = 1.91293118277238916036
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) = 1.95598117719593034280
Sixth root of 57 (6√57) = 1.96175970273548139211
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) = 2.08855707881179020191
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) = 2.10901877211622501562
Sixth root of 89 (6√89) = 2.11299434348143400086
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) = 2.13233110556881966247
Sixth root of 95 (6√95) = 2.13609518406529952372
Sixth root of 96 (6√96) = 2.13982638786732604075
Sixth root of 97 (6√97) = 2.14352534209582845648
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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