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Fourth Root

4th Root Calculator

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What is a fourth root?

The fourth root of a number is the number that would have to be multiplied by itself 4 times to get the original number.
For example, the fourth root of 81 is 3 as 3 x 3 x 3 x 3 is 81.
The fourth root of 104,976 is 18, as 18 x 18 x 18 x 18 is 104,976.

How to calculate fourth root

Even for perfect fourth root numbers, fourth root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the fourth root of 4,096
1) Try a number – 5 : 5 x 5 x 5 x 5 = 625 (too low)
2) Try another number that is more than 5 – 6 : 6 x 6 x 6 x 6 = 1,296 (too low)
3) Try a number that is more than 6 – 10 – 10 x 10 x 10 x 10 = 10,000 (too high)
4) Try a number in between 6 and 10 – 8 – 8 x 8 x 8 x 8 = 4,096 (answer)
A fourth root can also be calculated as the same number to the exponent 1/4.
4√number = number1/4

Table – Fourth Root (4√) of 1 – 100

Fourth root of 0 (4√0) = 0.00000000000000000000
Fourth root of 1 (4√1) = 1.00000000000000000000
Fourth root of 2 (4√2) = 1.18920711500272102690
Fourth root of 3 (4√3) = 1.31607401295249237805
Fourth root of 4 (4√4) = 1.41421356237309514547
Fourth root of 5 (4√5) = 1.49534878122122050215
Fourth root of 6 (4√6) = 1.56508458007328732364
Fourth root of 7 (4√7) = 1.62657656169778586097
Fourth root of 8 (4√8) = 1.68179283050742900407
Fourth root of 9 (4√9) = 1.73205080756887719318
Fourth root of 10 (4√10) = 1.77827941003892275873
Fourth root of 11 (4√11) = 1.82116028683787201103
Fourth root of 12 (4√12) = 1.86120971820419911502
Fourth root of 13 (4√13) = 1.89882892211594178633
Fourth root of 14 (4√14) = 1.93433642026766938748
Fourth root of 15 (4√15) = 1.96798967126543056239
Fourth root of 16 (4√16) = 2.00000000000000000000
Fourth root of 17 (4√17) = 2.03054318486893059514
Fourth root of 18 (4√18) = 2.05976714390711768132
Fourth root of 19 (4√19) = 2.08779762992984396774
Fourth root of 20 (4√20) = 2.11474252688112818177
Fourth root of 21 (4√21) = 2.14069514292807250300
Fourth root of 22 (4√22) = 2.16573677066799374913
Fourth root of 23 (4√23) = 2.18993870309484250924
Fourth root of 24 (4√24) = 2.21336383940064296283
Fourth root of 25 (4√25) = 2.23606797749978936096
Fourth root of 26 (4√26) = 2.25810086435322565634
Fourth root of 27 (4√27) = 2.27950705695477751078
Fourth root of 28 (4√28) = 2.30032663379120583258
Fourth root of 29 (4√29) = 2.32059578710608338525
Fourth root of 30 (4√30) = 2.34034731932071604632
Fourth root of 31 (4√31) = 2.35961106177056656463
Fourth root of 32 (4√32) = 2.37841423000544205379
Fourth root of 33 (4√33) = 2.39678172692843016733
Fourth root of 34 (4√34) = 2.41473640276641798863
Fourth root of 35 (4√35) = 2.43229927909778709250
Fourth root of 36 (4√36) = 2.44948974278317788134
Fourth root of 37 (4√37) = 2.46632571455966065344
Fourth root of 38 (4√38) = 2.48282379619838833307
Fourth root of 39 (4√39) = 2.49899939943938331766
Fourth root of 40 (4√40) = 2.51486685936587095469
Fourth root of 41 (4√41) = 2.53043953443524305413
Fourth root of 42 (4√42) = 2.54572989502183055777
Fourth root of 43 (4√43) = 2.56074960203101475997
Fourth root of 44 (4√44) = 2.57550957690139448175
Fourth root of 45 (4√45) = 2.59002006411135132780
Fourth root of 46 (4√46) = 2.60429068714021783038
Fourth root of 47 (4√47) = 2.61833049869588574410
Fourth root of 48 (4√48) = 2.63214802590498475610
Fourth root of 49 (4√49) = 2.64575131106459071617
Fourth root of 50 (4√50) = 2.65914794847249424947
Fourth root of 51 (4√51) = 2.67234511778378802660
Fourth root of 52 (4√52) = 2.68534961428265006589
Fourth root of 53 (4√53) = 2.69816787640808541937
Fourth root of 54 (4√54) = 2.71080601082953442926
Fourth root of 55 (4√55) = 2.72326981533150025427
Fourth root of 56 (4√56) = 2.73556479973476074363
Fourth root of 57 (4√57) = 2.74769620505447242920
Fourth root of 58 (4√58) = 2.75966902107189415716
Fourth root of 59 (4√59) = 2.77148800247603599445
Fourth root of 60 (4√60) = 2.78315768371374083756
Fourth root of 61 (4√61) = 2.79468239267124163305
Fourth root of 62 (4√62) = 2.80606626329668307207
Fourth root of 63 (4√63) = 2.81731324726125764712
Fourth root of 64 (4√64) = 2.82842712474619029095
Fourth root of 65 (4√65) = 2.83941151443367756357
Fourth root of 66 (4√66) = 2.85026988277179826881
Fourth root of 67 (4√67) = 2.86100555257630517758
Fourth root of 68 (4√68) = 2.87162171102590058069
Fourth root of 69 (4√69) = 2.88212141710200597799
Fourth root of 70 (4√70) = 2.89250760851907795512
Fourth root of 71 (4√71) = 2.90278310818709961438
Fourth root of 72 (4√72) = 2.91295063024394051965
Fourth root of 73 (4√73) = 2.92301278569176492539
Fourth root of 74 (4√74) = 2.93297208766851857931
Fourth root of 75 (4√75) = 2.94283095638271152694
Fourth root of 76 (4√76) = 2.95259172373718925542
Fourth root of 77 (4√77) = 2.96225663766529878629
Fourth root of 78 (4√78) = 2.97182786620084149476
Fourth root of 79 (4√79) = 2.98130750130133170828
Fourth root of 80 (4√80) = 2.99069756244244144838
Fourth root of 81 (4√81) = 3.00000000000000000000
Fourth root of 82 (4√82) = 3.00921669843456385252
Fourth root of 83 (4√83) = 3.01834947929233310404
Fourth root of 84 (4√84) = 3.02740010403509129944
Fourth root of 85 (4√85) = 3.03637027671081094482
Fourth root of 86 (4√86) = 3.04526164647566899291
Fourth root of 87 (4√87) = 3.05407580997735106365
Fourth root of 88 (4√88) = 3.06281431360878597658
Fourth root of 89 (4√89) = 3.07147865564073274669
Fourth root of 90 (4√90) = 3.08007028824102313536
Fourth root of 91 (4√91) = 3.08859061938766110700
Fourth root of 92 (4√92) = 3.09704101468247250395
Fourth root of 93 (4√93) = 3.10542279907148133233
Fourth root of 94 (4√94) = 3.11373725847776983144
Fourth root of 95 (4√95) = 3.12198564135214517989
Fourth root of 96 (4√96) = 3.13016916014657464729
Fourth root of 97 (4√97) = 3.13828899271499617285
Fourth root of 98 (4√98) = 3.14634628364578849968
Fourth root of 99 (4√99) = 3.15434214552990432878
Fourth root of 100 (4√100) = 3.16227766016837907870

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