Square root of 105

√105 ≈ 10.2470

√105 is an irrational number, so its decimals never end or repeat. It sits between 10 and 11 because 10² = 100 and 11² = 121.

√105 rounded

Decimal placesValue
010
110.2
210.25
310.247
410.2470
510.24695
10 (digits)10.2469507660

Simplest radical form

105 has no perfect-square factor other than 1, so √105 is already in simplest radical form.

Check the answer

10.2470 × 10.2470 ≈ 105.0010, which is very close to 105.

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Square roots near 105

NumberSquare root
10110.0499
10210.0995
10310.1489
10410.1980
10610.2956
10710.3441
10810.3923
10910.4403

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