Kvadratinė šaknis: Skirtumas tarp puslapio versijų

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S Atmestas 88.119.134.190 pakeitimas, grąžinta ankstesnė versija (Homo ergaster keitimas)
Žyma: Atmesti
Eilutė 1:
[[Vaizdas:Nuvola apps edu mathematics blue-p.svg|miniatiūra|Kvadratinės šaknies simbolis]]
'''Kvadratinė šaknis''' ('''√''') – aritmetinis veiksmas, kai norime sužinoti ? šiame reiškinyje: ?<sup>2</sup>=a. Veiksmas užrašomas taip: <math>\scriptstyle \sqrt{a} \ = \ ?</math>.
atsiprasau, kad nuciulpiau spencpeli
 
== Sprendimas ==
 
Tarkime, norime ištraukti šaknį iš 9. Tuomet turime rasti skaičių, kurį [[Kėlimas laipsniu|pakėlus kvadratu]] gautume 9. Sprendimas:
 
<math>\scriptstyle \sqrt{9} \ = \ 3</math>, nes 3<sup>2</sup>=9.
 
== Greitas sprendimas ==
 
Galime neieškoti skaičiaus, o tiesiog žinodami taisyklę ją pritaikyti:
 
<math>\scriptstyle \sqrt{x}</math>=x<sup>1/2</sup>
 
Pavyzdys:
 
<math>\scriptstyle \sqrt{9}</math>=9<sup>1/2</sup>=9<sup>0.5</sup>=3
 
== Kvadratinės šaknys be liekanos racionaliems skaičiams nuo 1 iki 100000 ==
 
{| class="wikitable sortable"
|-
| &radic;1=1
|| &radic;4=2
|| &radic;9=3
|| &radic;16=4
|| &radic;25=5
|| &radic;36=6
|| &radic;49=7
|| &radic;64=8
|| &radic;81=9
|| &radic;100=10
 
|-
| &radic;121=11
|| &radic;144=12
|| &radic;169=13
|| &radic;196=14
|| &radic;225=15
|| &radic;256=16
|| &radic;289=17
|| &radic;324=18
|| &radic;361=19
|| &radic;400=20
 
|-
| &radic;441=21
|| &radic;484=22
|| &radic;529=23
|| &radic;576=24
|| &radic;625=25
|| &radic;676=26
|| &radic;729=27
|| &radic;784=28
|| &radic;841=29
|| &radic;900=30
 
|-
| &radic;961=31
|| &radic;1024=32
|| &radic;1089=33
|| &radic;1156=34
|| &radic;1225=35
|| &radic;1296=36
|| &radic;1369=37
|| &radic;1444=38
|| &radic;1521=39
|| &radic;1600=40
 
|-
| &radic;1681=41
|| &radic;1764=42
|| &radic;1849=43
|| &radic;1936=44
|| &radic;2025=45
|| &radic;2116=46
|| &radic;2209=47
|| &radic;2304=48
|| &radic;2401=49
|| &radic;2500=50
 
|-
| &radic;2601=51
|| &radic;2704=52
|| &radic;2809=53
|| &radic;2916=54
|| &radic;3025=55
|| &radic;3136=56
|| &radic;3249=57
|| &radic;3364=58
|| &radic;3481=59
|| &radic;3600=60
 
|-
| &radic;3721=61
|| &radic;3844=62
|| &radic;3969=63
|| &radic;4096=64
|| &radic;4225=65
|| &radic;4356=66
|| &radic;4489=67
|| &radic;4624=68
|| &radic;4761=69
|| &radic;4900=70
 
|-
| &radic;5041=71
|| &radic;5184=72
|| &radic;5329=73
|| &radic;5476=74
|| &radic;5625=75
|| &radic;5776=76
|| &radic;5929=77
|| &radic;6084=78
|| &radic;6241=79
|| &radic;6400=80
 
|-
| &radic;6561=81
|| &radic;6724=82
|| &radic;6889=83
|| &radic;7056=84
|| &radic;7225=85
|| &radic;7396=86
|| &radic;7569=87
|| &radic;7744=88
|| &radic;7921=89
|| &radic;8100=90
 
|-
| &radic;8281=91
|| &radic;8464=92
|| &radic;8649=93
|| &radic;8836=94
|| &radic;9025=95
|| &radic;9216=96
|| &radic;9409=97
|| &radic;9604=98
|| &radic;9801=99
|| &radic;10000=100
 
|-
| &radic;10201=101
|| &radic;10404=102
|| &radic;10609=103
|| &radic;10816=104
|| &radic;11025=105
|| &radic;11236=106
|| &radic;11449=107
|| &radic;11664=108
|| &radic;11881=109
|| &radic;12100=110
 
|-
| &radic;12321=111
|| &radic;12544=112
|| &radic;12769=113
|| &radic;12996=114
|| &radic;13225=115
|| &radic;13456=116
|| &radic;13689=117
|| &radic;13924=118
|| &radic;14161=119
|| &radic;14400=120
 
|-
| &radic;14641=121
|| &radic;14884=122
|| &radic;15129=123
|| &radic;15376=124
|| &radic;15625=125
|| &radic;15876=126
|| &radic;16129=127
|| &radic;16384=128
|| &radic;16641=129
|| &radic;16900=130
 
|-
| &radic;17161=131
|| &radic;17424=132
|| &radic;17689=133
|| &radic;17956=134
|| &radic;18225=135
|| &radic;18496=136
|| &radic;18769=137
|| &radic;19044=138
|| &radic;19321=139
|| &radic;19600=140
 
|-
| &radic;19881=141
|| &radic;20164=142
|| &radic;20449=143
|| &radic;20736=144
|| &radic;21025=145
|| &radic;21316=146
|| &radic;21609=147
|| &radic;21904=148
|| &radic;22201=149
|| &radic;22500=150
 
|-
| &radic;22801=151
|| &radic;23104=152
|| &radic;23409=153
|| &radic;23716=154
|| &radic;24025=155
|| &radic;24336=156
|| &radic;24649=157
|| &radic;24964=158
|| &radic;25281=159
|| &radic;25600=160
 
|-
| &radic;25921=161
|| &radic;26244=162
|| &radic;26569=163
|| &radic;26896=164
|| &radic;27225=165
|| &radic;27556=166
|| &radic;27889=167
|| &radic;28224=168
|| &radic;28561=169
|| &radic;28900=170
 
|-
| &radic;29241=171
|| &radic;29584=172
|| &radic;29929=173
|| &radic;30276=174
|| &radic;30625=175
|| &radic;30976=176
|| &radic;31329=177
|| &radic;31684=178
|| &radic;32041=179
|| &radic;32400=180
 
|-
| &radic;32761=181
|| &radic;33124=182
|| &radic;33489=183
|| &radic;33856=184
|| &radic;34225=185
|| &radic;34596=186
|| &radic;34969=187
|| &radic;35344=188
|| &radic;35721=189
|| &radic;36100=190
 
|-
| &radic;36481=191
|| &radic;36864=192
|| &radic;37249=193
|| &radic;37636=194
|| &radic;38025=195
|| &radic;38416=196
|| &radic;38809=197
|| &radic;39204=198
|| &radic;39601=199
|| &radic;40000=200
 
|-
| &radic;40401=201
|| &radic;40804=202
|| &radic;41209=203
|| &radic;41616=204
|| &radic;42025=205
|| &radic;42436=206
|| &radic;42849=207
|| &radic;43264=208
|| &radic;43681=209
|| &radic;44100=210
 
|-
| &radic;44521=211
|| &radic;44944=212
|| &radic;45369=213
|| &radic;45796=214
|| &radic;46225=215
|| &radic;46656=216
|| &radic;47089=217
|| &radic;47524=218
|| &radic;47961=219
|| &radic;48400=220
 
|-
| &radic;48841=221
|| &radic;49284=222
|| &radic;49729=223
|| &radic;50176=224
|| &radic;50625=225
|| &radic;51076=226
|| &radic;51529=227
|| &radic;51984=228
|| &radic;52441=229
|| &radic;52900=230
 
|-
| &radic;53361=231
|| &radic;53824=232
|| &radic;54289=233
|| &radic;54756=234
|| &radic;55225=235
|| &radic;55696=236
|| &radic;56169=237
|| &radic;56644=238
|| &radic;57121=239
|| &radic;57600=240
 
|-
| &radic;58081=241
|| &radic;58564=242
|| &radic;59049=243
|| &radic;59536=244
|| &radic;60025=245
|| &radic;60516=246
|| &radic;61009=247
|| &radic;61504=248
|| &radic;62001=249
|| &radic;62500=250
 
|-
| &radic;63001=251
|| &radic;63504=252
|| &radic;64009=253
|| &radic;64516=254
|| &radic;65025=255
|| &radic;65536=256
|| &radic;66049=257
|| &radic;66564=258
|| &radic;67081=259
|| &radic;67600=260
 
|-
| &radic;68121=261
|| &radic;68644=262
|| &radic;69169=263
|| &radic;69696=264
|| &radic;70225=265
|| &radic;70756=266
|| &radic;71289=267
|| &radic;71824=268
|| &radic;72361=269
|| &radic;72900=270
 
|-
| &radic;73441=271
|| &radic;73984=272
|| &radic;74529=273
|| &radic;75076=274
|| &radic;75625=275
|| &radic;76176=276
|| &radic;76729=277
|| &radic;77284=278
|| &radic;77841=279
|| &radic;78400=280
 
|-
| &radic;78961=281
|| &radic;79524=282
|| &radic;80089=283
|| &radic;80656=284
|| &radic;81225=285
|| &radic;81796=286
|| &radic;82369=287
|| &radic;82944=288
|| &radic;83521=289
|| &radic;84100=290
 
|-
| &radic;84681=291
|| &radic;85264=292
|| &radic;85849=293
|| &radic;86436=294
|| &radic;87025=295
|| &radic;87616=296
|| &radic;88209=297
|| &radic;88804=298
|| &radic;89401=299
|| &radic;90000=300
 
|-
| &radic;90601=301
|| &radic;91204=302
|| &radic;91809=303
|| &radic;92416=304
|| &radic;93025=305
|| &radic;93636=306
|| &radic;94249=307
|| &radic;94864=308
|| &radic;95481=309
|| &radic;96100=310
 
|-
| &radic;96721=311
|| &radic;97344=312
|| &radic;97969=313
|| &radic;98596=314
|| &radic;99225=315
|| &radic;99856=316
|| || || ||
|}
 
[[Kategorija:Aritmetika]]