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What is the Square Root of 23409?

The square root of 23409 is 153. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√23409 = 153
ExactPerfect squareRational
Exact form153
Perfect squareYes
Number typeRational
Verification1532 ≈ 23409

On this page

How the answer is calculated

We solve x2 = 23409. The resulting value is x = 153.

Verification: 1532 ≈ 23409.

Simplified radical form

The square root of 23409 in simplified radical form is 153.

There are no square factors that can be taken outside the radical, so 153 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15323409
Upper or equal15323409

Nearby square roots

NumberSquare root
√23406152.9901957643
√23407152.9934639127
√23408152.9967319912
√23409153
√23410153.003267939
√23411153.0065358081
√23412153.0098036075

Number properties

Is 23409 a perfect square?

Yes. Its square root is the whole number 153.

Is the square root rational or irrational?

153 is rational because it is a whole number.

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 23409.