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What is the Square Root of 23513?

The square root of 23513 is 153.3394926299. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√23513 = 153.3394926299
CalculatedNon-perfect squareIrrational
Exact form√23513
Perfect squareNo
Number typeIrrational
Verification153.33949262992 ≈ 23513

On this page

How the answer is calculated

We solve x2 = 23513. The resulting value is x = 153.3394926299.

Verification: 153.33949262992 ≈ 23513.

Simplified radical form

The square root of 23513 in simplified radical form is √23513.

There are no square factors that can be taken outside the radical, so √23513 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal15323409
Upper or equal15423716

Nearby square roots

NumberSquare root
√23510153.3297101021
√23511153.3329710141
√23512153.3362318567
√23513153.3394926299
√23514153.3427533338
√23515153.3460139684
√23516153.3492745337

Number properties

Is 23513 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√23513 is irrational because 23513 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 23513.