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What is the Square Root of 23013?

The square root of 23013 is 151.7003625572. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√23013 = 151.7003625572
CalculatedNon-perfect squareIrrational
Exact form√23013
Perfect squareNo
Number typeIrrational
Verification151.70036255722 ≈ 23013

On this page

How the answer is calculated

We solve x2 = 23013. The resulting value is x = 151.7003625572.

Verification: 151.70036255722 ≈ 23013.

Simplified radical form

The square root of 23013 in simplified radical form is 3√2557.

This is equivalent to √23013, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15122801
Upper or equal15223104

Nearby square roots

NumberSquare root
√23010151.6904743219
√23011151.693770472
√23012151.6970665504
√23013151.7003625572
√23014151.7036584925
√23015151.7069543561
√23016151.7102501481

Number properties

Is 23013 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√23013 is irrational because 23013 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 23013.