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What is the Square Root of 23209?

The square root of 23209 is 152.3450032. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√23209 = 152.3450032
CalculatedNon-perfect squareIrrational
Exact form√23209
Perfect squareNo
Number typeIrrational
Verification152.34500322 ≈ 23209

On this page

How the answer is calculated

We solve x2 = 23209. The resulting value is x = 152.3450032.

Verification: 152.34500322 ≈ 23209.

Simplified radical form

The square root of 23209 in simplified radical form is √23209.

There are no square factors that can be taken outside the radical, so √23209 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15223104
Upper or equal15323409

Nearby square roots

NumberSquare root
√23206152.3351568089
√23207152.33843901
√23208152.3417211403
√23209152.3450032
√23210152.3482851889
√23211152.3515671071
√23212152.3548489547

Number properties

Is 23209 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√23209 is irrational because 23209 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 23209.