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What is the Square Root of 23008?

The square root of 23008 is 151.6838818069. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√23008 = 151.6838818069
CalculatedNon-perfect squareIrrational
Exact form√23008
Perfect squareNo
Number typeIrrational
Verification151.68388180692 ≈ 23008

On this page

How the answer is calculated

We solve x2 = 23008. The resulting value is x = 151.6838818069.

Verification: 151.68388180692 ≈ 23008.

Simplified radical form

The square root of 23008 in simplified radical form is 4√1438.

This is equivalent to √23008, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15122801
Upper or equal15223104

Nearby square roots

NumberSquare root
√23005151.6739924971
√23006151.6772890053
√23007151.6805854419
√23008151.6838818069
√23009151.6871781002
√23010151.6904743219
√23011151.693770472

Number properties

Is 23008 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√23008 is irrational because 23008 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 23008.