Square root of 106

√106 ≈ 10.2956

√106 is an irrational number, so its decimals never end or repeat. It sits between 10 and 11 because 10² = 100 and 11² = 121.

√106 rounded

Decimal placesValue
010
110.3
210.30
310.296
410.2956
510.29563
10 (digits)10.2956301410

Simplest radical form

106 has no perfect-square factor other than 1, so √106 is already in simplest radical form.

Check the answer

10.2956 × 10.2956 ≈ 105.9994, which is very close to 106.

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Square roots near 106

NumberSquare root
10210.0995
10310.1489
10410.1980
10510.2470
10710.3441
10810.3923
10910.4403
11010.4881

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