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Tenth Root Calculator

10th Root Calculator

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What is a tenth root?

The tenth root of a number is the number that would have to be multiplied by itself 10 times to get the original number.
For example, the tenth root of 59,049 is 3 as 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 is 59,049.
The ninth root of 690,432 is 4, as 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 is 690,432.

How to calculate tenth root

Even for perfect tenth root numbers, ninth root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the tenth root of 1,073,741,824
1) Try a number – 5 : 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 9,765,625 (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 x 6 x 6 x 6 = 60,466,176 (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 x 10 x 10 x 10 = 10,000,000,000 (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 x 8 x 8 = 1,073,741,824 (answer)
An ninth root can also be calculated as the same number to the exponent 1/10.
10√number = number1/10

Table – Tenth Root (10√) of 1 – 100

Tenth root of 0 (10√0)=0.00000000000000000000
Tenth root of 1 (10√1)=1.00000000000000000000
Tenth root of 2 (10√2)=1.07177346253629313111
Tenth root of 3 (10√3)=1.11612317403390437498
Tenth root of 4 (10√4)=1.14869835499703509818
Tenth root of 5 (10√5)=1.17461894308801895193
Tenth root of 6 (10√6)=1.19623119885131545814
Tenth root of 7 (10√7)=1.21481404403906689815
Tenth root of 8 (10√8)=1.23114441334491631075
Tenth root of 9 (10√9)=1.24573093961551739639
Tenth root of 10 (10√10)=1.25892541179416728170
Tenth root of 11 (10√11)=1.27098161521014074715
Tenth root of 12 (10√12)=1.28208885398681537993
Tenth root of 13 (10√13)=1.29239222078083182410
Tenth root of 14 (10√14)=1.30200545431746772529
Tenth root of 15 (10√15)=1.31101942303975005366
Tenth root of 16 (10√16)=1.31950791077289419917
Tenth root of 17 (10√17)=1.32753167488851930855
Tenth root of 18 (10√18)=1.33514136254031301476
Tenth root of 19 (10√19)=1.34237965096210487559
Tenth root of 20 (10√20)=1.34928284767356343465
Tenth root of 21 (10√21)=1.35588210669384667817
Tenth root of 22 (10√22)=1.36220436655374310675
Tenth root of 23 (10√23)=1.36827308332615293907
Tenth root of 24 (10√24)=1.37410881031663723029
Tenth root of 25 (10√25)=1.37972966146121489572
Tenth root of 26 (10√26)=1.38515168542124156303
Tenth root of 27 (10√27)=1.39038917031590947282
Tenth root of 28 (10√28)=1.39545489401497180282
Tenth root of 29 (10√29)=1.40036033129139592113
Tenth root of 30 (10√30)=1.40511582648364607984
Tenth root of 31 (10√31)=1.40973073835554063571
Tenth root of 32 (10√32)=1.41421356237309514547
Tenth root of 33 (10√33)=1.41857203450708069248
Tenth root of 34 (10√34)=1.42281321982187280994
Tenth root of 35 (10√35)=1.42694358845765090216
Tenth root of 36 (10√36)=1.43096908110525555813
Tenth root of 37 (10√37)=1.43489516567535946301
Tenth root of 38 (10√38)=1.43872688654991565116
Tenth root of 39 (10√39)=1.44246890755462864320
Tenth root of 40 (10√40)=1.44612554959192474158
Tenth root of 41 (10√41)=1.44970082371356356887
Tenth root of 42 (10√42)=1.45319846028226784540
Tenth root of 43 (10√43)=1.45662193476615531296
Tenth root of 44 (10√44)=1.45997449062336315251
Tenth root of 45 (10√45)=1.46325915966322384065
Tenth root of 46 (10√46)=1.46647878021168098783
Tenth root of 47 (10√47)=1.46963601335992932739
Tenth root of 48 (10√48)=1.47273335753468881393
Tenth root of 49 (10√49)=1.47577316159455218525
Tenth root of 50 (10√50)=1.47875763662831372081
Tenth root of 51 (10√51)=1.48168886660711929260
Tenth root of 52 (10√52)=1.48456881802190654440
Tenth root of 53 (10√53)=1.48739934862030809271
Tenth root of 54 (10√54)=1.49018221534244599269
Tenth root of 55 (10√55)=1.49291908154243868623
Tenth root of 56 (10√56)=1.49561152357164228732
Tenth root of 57 (10√57)=1.49826103679034927652
Tenth root of 58 (10√58)=1.50086904106665008918
Tenth root of 59 (10√59)=1.50343688581423862161
Tenth root of 60 (10√60)=1.50596585461492260549
Tenth root of 61 (10√61)=1.50845716946638241929
Tenth root of 62 (10√62)=1.51091199469116310716
Tenth root of 63 (10√63)=1.51333144053891333058
Tenth root of 64 (10√64)=1.51571656651039821107
Tenth root of 65 (10√65)=1.51806838442875835504
Tenth root of 66 (10√66)=1.52038786128080793958
Tenth root of 67 (10√67)=1.52267592184878619577
Tenth root of 68 (10√68)=1.52493345115090073172
Tenth root of 69 (10√69)=1.52716129670714284572
Tenth root of 70 (10√70)=1.52936027064522006569
Tenth root of 71 (10√71)=1.53153115165999897940
Tenth root of 72 (10√72)=1.53367468683855734390
Tenth root of 73 (10√73)=1.53579159336178672213
Tenth root of 74 (10√74)=1.53788256009246815381
Tenth root of 75 (10√75)=1.53994824905881566579
Tenth root of 76 (10√76)=1.54198929684166374798
Tenth root of 77 (10√77)=1.54400631587273617917
Tenth root of 78 (10√78)=1.54599989565076856302
Tenth root of 79 (10√79)=1.54797060388166607403
Tenth root of 80 (10√80)=1.54991898754833723473
Tenth root of 81 (10√81)=1.55184557391535982163
Tenth root of 82 (10√82)=1.55375087147320245506
Tenth root of 83 (10√83)=1.55563537082632663555
Tenth root of 84 (10√84)=1.55749954552913605355
Tenth root of 85 (10√85)=1.55934385287342003323
Tenth root of 86 (10√86)=1.56116873463063687844
Tenth root of 87 (10√87)=1.56297461775212265245
Tenth root of 88 (10√88)=1.56476191503006267780
Tenth root of 89 (10√89)=1.56653102572184343977
Tenth root of 90 (10√90)=1.56828233614020007280
Tenth root of 91 (10√91)=1.57001622021139297658
Tenth root of 92 (10√92)=1.57173304000347280329
Tenth root of 93 (10√93)=1.57343314622654584234
Tenth root of 94 (10√94)=1.57511687870680550105
Tenth root of 95 (10√95)=1.57678456683597145727
Tenth root of 96 (10√96)=1.57843652999765393652
Tenth root of 97 (10√97)=1.58007307797205598376
Tenth root of 98 (10√98)=1.58169451132032556906
Tenth root of 99 (10√99)=1.58330112174977633011
Tenth root of 100 (10√100)=1.58489319246111359796

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