Square root of 300

√300 ≈ 17.3205

√300 is an irrational number, so its decimals never end or repeat. It sits between 17 and 18 because 17² = 289 and 18² = 324.

√300 rounded

Simplest radical form

300 = 100 × 3 and √100 = 10, so √300 = 10√3.

Check the answer

17.3205 × 17.3205 ≈ 299.9997, which is very close to 300.

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Square roots near 300

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