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What is the Square Root of 13353?

The square root of 13353 is 115.5551816233. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13353 = 115.5551816233
CalculatedNon-perfect squareIrrational
Exact form√13353
Perfect squareNo
Number typeIrrational
Verification115.55518162332 ≈ 13353

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How the answer is calculated

We solve x2 = 13353. The resulting value is x = 115.5551816233.

Verification: 115.55518162332 ≈ 13353.

Simplified radical form

The square root of 13353 in simplified radical form is √13353.

There are no square factors that can be taken outside the radical, so √13353 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13350115.5422000829
√13351115.5465274251
√13352115.5508546052
√13353115.5551816233
√13354115.5595084794
√13355115.5638351735
√13356115.5681617055

Number properties

Is 13353 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13353 is irrational because 13353 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 13353.