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What is the Square Root of 23420?

The square root of 23420 is 153.0359434904. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√23420 = 153.0359434904
CalculatedNon-perfect squareIrrational
Exact form√23420
Perfect squareNo
Number typeIrrational
Verification153.03594349042 ≈ 23420

On this page

How the answer is calculated

We solve x2 = 23420. The resulting value is x = 153.0359434904.

Verification: 153.03594349042 ≈ 23420.

Simplified radical form

The square root of 23420 in simplified radical form is 2√5855.

This is equivalent to √23420, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal15323409
Upper or equal15423716

Nearby square roots

NumberSquare root
√23417153.0261415576
√23418153.0294089383
√23419153.0326762492
√23420153.0359434904
√23421153.0392106618
√23422153.0424777635
√23423153.0457447955

Number properties

Is 23420 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√23420 is irrational because 23420 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 23420.