Square root of 200

√200 ≈ 14.1421

√200 is an irrational number, so its decimals never end or repeat. It sits between 14 and 15 because 14² = 196 and 15² = 225.

√200 rounded

Simplest radical form

200 = 100 × 2 and √100 = 10, so √200 = 10√2.

Check the answer

14.1421 × 14.1421 ≈ 199.9990, which is very close to 200.

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Square roots near 200

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