What is the Square Root of 10017?

The square root of 10017 is 100.0849639057. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√10017 = 100.0849639057
CalculatedNon-perfect squareIrrational
Exact form√10017
Perfect squareNo
Number typeIrrational
Verification100.08496390572 ≈ 10017

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How the answer is calculated

We solve x2 = 10017. The resulting value is x = 100.0849639057.

Verification: 100.08496390572 ≈ 10017.

Simplified radical form

The square root of 10017 in simplified radical form is 3√1113.

This is equivalent to √10017, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10010000
Upper or equal10110201

Nearby square roots

NumberSquare root
√10014100.0699755171
√10015100.0749718961
√10016100.0799680256
√10017100.0849639057
√10018100.0899595364
√10019100.0949549178
√10020100.0999500499

Number properties

Is 10017 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√10017 is irrational because 10017 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 10017.