SPONSORED

Tenth Root Calculator

10th Root Calculator

3

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) = 1.31101942303974983162
Tenth root of 16 (10√16) = 1.31950791077289419917
Tenth root of 17 (10√17) = 1.32753167488851908651
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) = 1.41857203450708091452
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) = 1.47875763662831394285
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) = 1.49561152357164250937
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) = 1.50596585461492282754
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) = 1.51806838442875857709
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) = 1.52936027064521984364
Tenth root of 71 (10√71) = 1.53153115165999920144
Tenth root of 72 (10√72) = 1.53367468683855734390
Tenth root of 73 (10√73) = 1.53579159336178672213
Tenth root of 74 (10√74) = 1.53788256009246793177
Tenth root of 75 (10√75) = 1.53994824905881544375
Tenth root of 76 (10√76) = 1.54198929684166397003
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) = 1.55184557391535959958
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) = 1.56476191503006289985
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) = 1.57173304000347302534
Tenth root of 93 (10√93) = 1.57343314622654584234
Tenth root of 94 (10√94) = 1.57511687870680527901
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

More Math Calculators