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What is the Square Root of 23488?

The square root of 23488 is 153.2579524853. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√23488 = 153.2579524853
CalculatedNon-perfect squareIrrational
Exact form√23488
Perfect squareNo
Number typeIrrational
Verification153.25795248532 ≈ 23488

On this page

How the answer is calculated

We solve x2 = 23488. The resulting value is x = 153.2579524853.

Verification: 153.25795248532 ≈ 23488.

Simplified radical form

The square root of 23488 in simplified radical form is 8√367.

This is equivalent to √23488, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15323409
Upper or equal15423716

Nearby square roots

NumberSquare root
√23485153.2481647525
√23486153.2514273996
√23487153.2546899772
√23488153.2579524853
√23489153.2612149241
√23490153.2644772933
√23491153.2677395932

Number properties

Is 23488 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√23488 is irrational because 23488 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 23488.