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Ninth Root Calculator

9th Root Calculator

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What is a ninth root?

The ninth root of a number is the number that would have to be multiplied by itself 9 times to get the original number.
For example, the ninth root of 19,683 is 3 as 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 is 19,683.
The ninth root of 230,144 is 4, as 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 is 230,144.

How to calculate ninth root

Even for perfect ninth root numbers, ninth root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the ninth root of 134,217,728
1) Try a number – 5 : 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 1,953,125 (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 x 6 x 6 = 10,077,696 (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 = 1,000,000,000 (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 = 134,217,728 (answer)
An ninth root can also be calculated as the same number to the exponent 1/9.
9√number = number1/9

Table – Ninth Root (9√) of 1 – 100

Ninth root of 0 (9√0) = 0.00000000000000000000
Ninth root of 1 (9√1) = 1.00000000000000000000
Ninth root of 2 (9√2) = 1.08005973889230610929
Ninth root of 3 (9√3) = 1.12983096390975301659
Ninth root of 4 (9√4) = 1.16652903957611653318
Ninth root of 5 (9√5) = 1.19581317450040192085
Ninth root of 6 (9√6) = 1.22028493587281050559
Ninth root of 7 (9√7) = 1.24136581701520865018
Ninth root of 8 (9√8) = 1.25992104989487319067
Ninth root of 9 (9√9) = 1.27651800700924167309
Ninth root of 10 (9√10) = 1.29154966501488388531
Ninth root of 11 (9√11) = 1.30529988079491987563
Ninth root of 12 (9√12) = 1.31798062921300229711
Ninth root of 13 (9√13) = 1.32975454563978590095
Ninth root of 14 (9√14) = 1.34074924019528052277
Ninth root of 15 (9√15) = 1.35106675160177069905
Ninth root of 16 (9√16) = 1.36079000017437690140
Ninth root of 17 (9√17) = 1.36998731773974569137
Ninth root of 18 (9√18) = 1.37871570534172849243
Ninth root of 19 (9√19) = 1.38702322584421922080
Ninth root of 20 (9√20) = 1.39495079396242105396
Ninth root of 21 (9√21) = 1.40253353760291132879
Ninth root of 22 (9√22) = 1.40980184842751943286
Ninth root of 23 (9√23) = 1.41678220330141146910
Ninth root of 24 (9√24) = 1.42349781425291266324
Ninth root of 25 (9√25) = 1.42996914830872867697
Ninth root of 26 (9√26) = 1.43621434735456454668
Ninth root of 27 (9√27) = 1.44224957030740830177
Ninth root of 28 (9√28) = 1.44808927428537259630
Ninth root of 29 (9√29) = 1.45374644741567449202
Ninth root of 30 (9√30) = 1.45923280296108481835
Ninth root of 31 (9√31) = 1.46455894225276672671
Ninth root of 32 (9√32) = 1.46973449227559882502
Ninth root of 33 (9√33) = 1.47476822250980998952
Ninth root of 34 (9√34) = 1.47966814468376051117
Ninth root of 35 (9√35) = 1.48444159836124156548
Ninth root of 36 (9√36) = 1.48909532471810912568
Ninth root of 37 (9√37) = 1.49363553041768581942
Ninth root of 38 (9√38) = 1.49806794314287161640
Ninth root of 39 (9√39) = 1.50239786006357500803
Ninth root of 40 (9√40) = 1.50663019029466749288
Ninth root of 41 (9√41) = 1.51076949221983070082
Ninth root of 42 (9√42) = 1.51482000641110281514
Ninth root of 43 (9√43) = 1.51878568475542574667
Ninth root of 44 (9√44) = 1.52267021630251719877
Ninth root of 45 (9√45) = 1.52647705026864755062
Ninth root of 46 (9√46) = 1.53020941656498865591
Ninth root of 47 (9√47) = 1.53387034416450762642
Ninth root of 48 (9√48) = 1.53746267757576915436
Ninth root of 49 (9√49) = 1.54098909165383646247
Ninth root of 50 (9√50) = 1.54445210494637885645
Ninth root of 51 (9√51) = 1.54785409174603394433
Ninth root of 52 (9√52) = 1.55119729299715469750
Ninth root of 53 (9√53) = 1.55448382618561664614
Ninth root of 54 (9√54) = 1.55771569432376022490
Ninth root of 55 (9√55) = 1.56089479412836928951
Ninth root of 56 (9√56) = 1.56402292347740878853
Ninth root of 57 (9√57) = 1.56710178822078916028
Ninth root of 58 (9√58) = 1.57013300841139114006
Ninth root of 59 (9√59) = 1.57311812401477602030
Ninth root of 60 (9√60) = 1.57605860014923737644
Ninth root of 61 (9√61) = 1.57895583190195942791
Ninth root of 62 (9√62) = 1.58181114876191530882
Ninth root of 63 (9√63) = 1.58462581870565322184
Ninth root of 64 (9√64) = 1.58740105196819936140
Ninth root of 65 (9√65) = 1.59013800452785214468
Ninth root of 66 (9√66) = 1.59283778133061582061
Ninth root of 67 (9√67) = 1.59550143927735810223
Ninth root of 68 (9√68) = 1.59812998999440547543
Ninth root of 69 (9√69) = 1.60072440240621727270
Ninth root of 70 (9√70) = 1.60328560512692042117
Ninth root of 71 (9√71) = 1.60581448868585208167
Ninth root of 72 (9√72) = 1.60831190760079478785
Ninth root of 73 (9√73) = 1.61077868231128107368
Ninth root of 74 (9√74) = 1.61321560098319705112
Ninth root of 75 (9√75) = 1.61562342119485946590
Ninth root of 76 (9√76) = 1.61800287151382415907
Ninth root of 77 (9√77) = 1.62035465297284009267
Ninth root of 78 (9√78) = 1.62267944045262435537
Ninth root of 79 (9√79) = 1.62497788397844766806
Ninth root of 80 (9√80) = 1.62725060993692416389
Ninth root of 81 (9√81) = 1.62949822221884632611
Ninth root of 82 (9√82) = 1.63172130329341236177
Ninth root of 83 (9√83) = 1.63392041521874764598
Ninth root of 84 (9√84) = 1.63609610059321730624
Ninth root of 85 (9√85) = 1.63824888345165597947
Ninth root of 86 (9√86) = 1.64037927011031747782
Ninth root of 87 (9√87) = 1.64248774996403068549
Ninth root of 88 (9√88) = 1.64457479623878799480
Ninth root of 89 (9√89) = 1.64664086670272769020
Ninth root of 90 (9√90) = 1.64868640433825319747
Ninth root of 91 (9√91) = 1.65071183797782050640
Ninth root of 92 (9√92) = 1.65271758290572989836
Ninth root of 93 (9√93) = 1.65470404142809157655
Ninth root of 94 (9√94) = 1.65667160341296981763
Ninth root of 95 (9√95) = 1.65862064680256371396
Ninth root of 96 (9√96) = 1.66055153809915134744
Ninth root of 97 (9√97) = 1.66246463282640100090
Ninth root of 98 (9√98) = 1.66436027596753466362
Ninth root of 99 (9√99) = 1.66623880238173160961
Ninth root of 100 (9√100) = 1.66810053720005879718

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