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Fifth Root

5th Root Calculator

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What is a fifth root?

The fifth root of a number is the number that would have to be multiplied by itself 5 times to get the original number.
For example, the fifth root of 243 is 3 as 3 x 3 x 3 x 3 x 3 is 243.
The fifth root of 1,024 is 4, as 4 x 4 x 4 x 4 x 4 is 1,024.

How to calculate fifth root

Even for perfect fifth root numbers, fifth root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the fifth root of 32,768
1) Try a number – 5 : 5 x 5 x 5 x 5 x 5 = 3,125 (too low)
2) Try another number that is more than 5 – 6 : 6 x 6 x 6 x 6 x 6 = 7,776(too low)
3) Try a number that is more than 6 – 10 – 10 x 10 x 10 x 10 x 10 = 100,000 (too high)
4) Try a number in between 6 and 10 – 8 – 8 x 8 x 8 x 8 x 8 = 32,768 (answer)
A fifth root can also be calculated as the same number to the exponent 1/5.
5√number = number1/5

Table – Fifth Root (5√) of 1 – 100

Fifth root of 0 (5√0)=0.00000000000000000000
Fifth root of 1 (5√1)=1.00000000000000000000
Fifth root of 2 (5√2)=1.14869835499703509818
Fifth root of 3 (5√3)=1.24573093961551739639
Fifth root of 4 (5√4)=1.31950791077289419917
Fifth root of 5 (5√5)=1.37972966146121489572
Fifth root of 6 (5√6)=1.43096908110525555813
Fifth root of 7 (5√7)=1.47577316159455218525
Fifth root of 8 (5√8)=1.51571656651039821107
Fifth root of 9 (5√9)=1.55184557391535982163
Fifth root of 10 (5√10)=1.58489319246111359796
Fifth root of 11 (5√11)=1.61539426620217807518
Fifth root of 12 (5√12)=1.64375182951722575986
Fifth root of 13 (5√13)=1.67027765233481040319
Fifth root of 14 (5√14)=1.69521820307243542558
Fifth root of 15 (5√15)=1.71877192758747887602
Fifth root of 16 (5√16)=1.74110112659224824938
Fifth root of 17 (5√17)=1.76234034783231696686
Fifth root of 18 (5√18)=1.78260245796600336199
Fifth root of 19 (5√19)=1.80198312731714227475
Fifth root of 20 (5√20)=1.82056420302608024109
Fifth root of 21 (5√21)=1.83841628725254402354
Fifth root of 22 (5√22)=1.85560073625808441555
Fifth root of 23 (5√23)=1.87217123055485745731
Fifth root of 24 (5√24)=1.88817502258980396412
Fifth root of 25 (5√25)=1.90365393871587862407
Fifth root of 26 (5√26)=1.91864519162530622332
Fifth root of 27 (5√27)=1.93318204493176293290
Fifth root of 28 (5√28)=1.94729436123033639028
Fifth root of 29 (5√29)=1.96100905745454801021
Fifth root of 30 (5√30)=1.97435048583481997930
Fifth root of 31 (5√31)=1.98734075466445814229
Fifth root of 32 (5√32)=2.00000000000000000000
Fifth root of 33 (5√33)=2.01234661708555861992
Fifth root of 34 (5√34)=2.02439745849988517179
Fifth root of 35 (5√35)=2.03616800464039826579
Fifth root of 36 (5√36)=2.04767251107921932629
Fifth root of 37 (5√37)=2.05892413647851713066
Fifth root of 38 (5√38)=2.06993505408161393433
Fifth root of 39 (5√39)=2.08071654926184379519
Fifth root of 40 (5√40)=2.09127910518254633843
Fifth root of 41 (5√41)=2.10163247827578469895
Fifth root of 42 (5√42)=2.11178576496675418639
Fifth root of 43 (5√43)=2.12174746084189802531
Fifth root of 44 (5√44)=2.13152551327094874623
Fifth root of 45 (5√45)=2.14112736833832384420
Fifth root of 46 (5√46)=2.15056001281113973178
Fifth root of 47 (5√47)=2.15983001176446620661
Fifth root of 48 (5√48)=2.16894354239539710605
Fifth root of 49 (5√49)=2.17790642448278015664
Fifth root of 50 (5√50)=2.18672414788655622431
Fifth root of 51 (5√51)=2.19540189742749003443
Fifth root of 52 (5√52)=2.20394457544296029639
Fifth root of 53 (5√53)=2.21235682227611674122
Fifth root of 54 (5√54)=2.22064303492292003384
Fifth root of 55 (5√55)=2.22880738403351852384
Fifth root of 56 (5√56)=2.23685382944028932073
Fifth root of 57 (5√57)=2.24478613436409224491
Fifth root of 58 (5√58)=2.25260787843232535010
Fifth root of 59 (5√59)=2.26032246962681560021
Fifth root of 60 (5√60)=2.26793315526605443466
Fifth root of 61 (5√61)=2.27544303211453025071
Fifth root of 62 (5√62)=2.28285505570162916555
Fifth root of 63 (5√63)=2.29017204892358261503
Fifth root of 64 (5√64)=2.29739670999407019636
Fifth root of 65 (5√65)=2.30453161980214060733
Fifth root of 66 (5√66)=2.31157924873002906807
Fifth root of 67 (5√67)=2.31854196297805037474
Fifth root of 68 (5√68)=2.32542203043899631254
Fifth root of 69 (5√69)=2.33222162616024197845
Fifth root of 70 (5√70)=2.33894283742802056025
Fifth root of 71 (5√71)=2.34558766850500299839
Fifth root of 72 (5√72)=2.35215804504934711261
Fifth root of 73 (5√73)=2.35865581824073577977
Fifth root of 74 (5√74)=2.36508276863656385913
Fifth root of 75 (5√75)=2.37144060977931170342
Fifth root of 76 (5√76)=2.37773099157424905314
Fifth root of 77 (5√77)=2.38395550345489981581
Fifth root of 78 (5√78)=2.39011567735218699582
Fifth root of 79 (5√79)=2.39621299048176972235
Fifth root of 80 (5√80)=2.40224886796286263291
Fifth root of 81 (5√81)=2.40822468528069233429
Fifth root of 82 (5√82)=2.41414177060373580375
Fifth root of 83 (5√83)=2.42000140696596233170
Fifth root of 84 (5√84)=2.42580483432346571959
Fifth root of 85 (5√85)=2.43155325149412249175
Fifth root of 86 (5√86)=2.43724781798822398571
Fifth root of 87 (5√87)=2.44288965573739424997
Fifth root of 88 (5√88)=2.44847985072854923416
Fifth root of 89 (5√89)=2.45401945454913050781
Fifth root of 90 (5√90)=2.45950948584936357477
Fifth root of 91 (5√91)=2.46495093172686940974
Fifth root of 92 (5√92)=2.47034474903855860717
Fifth root of 93 (5√93)=2.47569186564436671816
Fifth root of 94 (5√94)=2.48099318158706916293
Fifth root of 95 (5√95)=2.48624957021210191144
Fifth root of 96 (5√96)=2.49146187923103479278
Fifth root of 97 (5√97)=2.49663093173208716635
Fifth root of 98 (5√98)=2.50175752714084342898
Fifth root of 99 (5√99)=2.50684244213410023505
Fifth root of 100 (5√100)=2.51188643150958013095

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