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What is the Square Root of 10201?

The square root of 10201 is 101. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√10201 = 101
ExactPerfect squareRational
Exact form101
Perfect squareYes
Number typeRational
Verification1012 ≈ 10201

On this page

How the answer is calculated

We solve x2 = 10201. The resulting value is x = 101.

Verification: 1012 ≈ 10201.

Simplified radical form

The square root of 10201 in simplified radical form is 101.

There are no square factors that can be taken outside the radical, so 101 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal10110201
Upper or equal10110201

Nearby square roots

NumberSquare root
√10198100.9851474228
√10199100.9900985246
√10200100.9950493836
√10201101
√10202101.0049503737
√10203101.0099005049
√10204101.0148503934

Number properties

Is 10201 a perfect square?

Yes. Its square root is the whole number 101.

Is the square root rational or irrational?

101 is rational because it is a whole number.

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 10201.