Square roots from 1 to 150

Every square root from √1 to √150, to four decimal places, with its simplest radical form. Each links to a page showing how to estimate it in your head.

Root	Value	Simplest form
√1	1	perfect square
√2	1.4142	√2
√3	1.7321	√3
√4	2	perfect square
√5	2.2361	√5
√6	2.4495	√6
√7	2.6458	√7
√8	2.8284	2√2
√9	3	perfect square
√10	3.1623	√10
√11	3.3166	√11
√12	3.4641	2√3
√13	3.6056	√13
√14	3.7417	√14
√15	3.873	√15
√16	4	perfect square
√17	4.1231	√17
√18	4.2426	3√2
√19	4.3589	√19
√20	4.4721	2√5
√21	4.5826	√21
√22	4.6904	√22
√23	4.7958	√23
√24	4.899	2√6
√25	5	perfect square
√26	5.099	√26
√27	5.1962	3√3
√28	5.2915	2√7
√29	5.3852	√29
√30	5.4772	√30
√31	5.5678	√31
√32	5.6569	4√2
√33	5.7446	√33
√34	5.831	√34
√35	5.9161	√35
√36	6	perfect square
√37	6.0828	√37
√38	6.1644	√38
√39	6.245	√39
√40	6.3246	2√10
√41	6.4031	√41
√42	6.4807	√42
√43	6.5574	√43
√44	6.6332	2√11
√45	6.7082	3√5
√46	6.7823	√46
√47	6.8557	√47
√48	6.9282	4√3
√49	7	perfect square
√50	7.0711	5√2
√51	7.1414	√51
√52	7.2111	2√13
√53	7.2801	√53
√54	7.3485	3√6
√55	7.4162	√55
√56	7.4833	2√14
√57	7.5498	√57
√58	7.6158	√58
√59	7.6811	√59
√60	7.746	2√15
√61	7.8102	√61
√62	7.874	√62
√63	7.9373	3√7
√64	8	perfect square
√65	8.0623	√65
√66	8.124	√66
√67	8.1854	√67
√68	8.2462	2√17
√69	8.3066	√69
√70	8.3666	√70
√71	8.4261	√71
√72	8.4853	6√2
√73	8.544	√73
√74	8.6023	√74
√75	8.6603	5√3
√76	8.7178	2√19
√77	8.775	√77
√78	8.8318	√78
√79	8.8882	√79
√80	8.9443	4√5
√81	9	perfect square
√82	9.0554	√82
√83	9.1104	√83
√84	9.1652	2√21
√85	9.2195	√85
√86	9.2736	√86
√87	9.3274	√87
√88	9.3808	2√22
√89	9.434	√89
√90	9.4868	3√10
√91	9.5394	√91
√92	9.5917	2√23
√93	9.6437	√93
√94	9.6954	√94
√95	9.7468	√95
√96	9.798	4√6
√97	9.8489	√97
√98	9.8995	7√2
√99	9.9499	3√11
√100	10	perfect square
√101	10.0499	√101
√102	10.0995	√102
√103	10.1489	√103
√104	10.198	2√26
√105	10.247	√105
√106	10.2956	√106
√107	10.3441	√107
√108	10.3923	6√3
√109	10.4403	√109
√110	10.4881	√110
√111	10.5357	√111
√112	10.583	4√7
√113	10.6301	√113
√114	10.6771	√114
√115	10.7238	√115
√116	10.7703	2√29
√117	10.8167	3√13
√118	10.8628	√118
√119	10.9087	√119
√120	10.9545	2√30
√121	11	perfect square
√122	11.0454	√122
√123	11.0905	√123
√124	11.1355	2√31
√125	11.1803	5√5
√126	11.225	3√14
√127	11.2694	√127
√128	11.3137	8√2
√129	11.3578	√129
√130	11.4018	√130
√131	11.4455	√131
√132	11.4891	2√33
√133	11.5326	√133
√134	11.5758	√134
√135	11.619	3√15
√136	11.6619	2√34
√137	11.7047	√137
√138	11.7473	√138
√139	11.7898	√139
√140	11.8322	2√35
√141	11.8743	√141
√142	11.9164	√142
√143	11.9583	√143
√144	12	perfect square
√145	12.0416	√145
√146	12.083	√146
√147	12.1244	7√3
√148	12.1655	2√37
√149	12.2066	√149
√150	12.2474	5√6

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