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What is the Square Root of 10267?

The square root of 10267 is 101.3262058897. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√10267 = 101.3262058897
CalculatedNon-perfect squareIrrational
Exact form√10267
Perfect squareNo
Number typeIrrational
Verification101.32620588972 ≈ 10267

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How the answer is calculated

We solve x2 = 10267. The resulting value is x = 101.3262058897.

Verification: 101.32620588972 ≈ 10267.

Simplified radical form

The square root of 10267 in simplified radical form is √10267.

There are no square factors that can be taken outside the radical, so √10267 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10110201
Upper or equal10210404

Nearby square roots

NumberSquare root
√10264101.3114011353
√10265101.3163362938
√10266101.3212712119
√10267101.3262058897
√10268101.3311403271
√10269101.3360745243
√10270101.3410084813

Number properties

Is 10267 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√10267 is irrational because 10267 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 10267.