What is the Square Root of 13274?

The square root of 13274 is 115.2128465059. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13274 = 115.2128465059
CalculatedNon-perfect squareIrrational
Exact form√13274
Perfect squareNo
Number typeIrrational
Verification115.21284650592 ≈ 13274

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How the answer is calculated

We solve x2 = 13274. The resulting value is x = 115.2128465059.

Verification: 115.21284650592 ≈ 13274.

Simplified radical form

The square root of 13274 in simplified radical form is √13274.

There are no square factors that can be taken outside the radical, so √13274 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13271115.1998263888
√13272115.2041665913
√13273115.2085066304
√13274115.2128465059
√13275115.217186218
√13276115.2215257667
√13277115.2258651519

Number properties

Is 13274 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13274 is irrational because 13274 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 13274.