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What is the Square Root of 1460?

The square root of 1460 is 38.2099463491. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1460 = 38.2099463491
CalculatedNon-perfect squareIrrational
Exact form√1460
Perfect squareNo
Number typeIrrational
Verification38.20994634912 ≈ 1460

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How the answer is calculated

We solve x2 = 1460. The resulting value is x = 38.2099463491.

Verification: 38.20994634912 ≈ 1460.

Simplified radical form

The square root of 1460 in simplified radical form is 2√365.

This is equivalent to √1460, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√145738.170669368
√145838.1837661841
√145938.1968585096
√146038.2099463491
√146138.2230297072
√146238.2361085886
√146338.2491829978

Number properties

Is 1460 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1460 is irrational because 1460 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 1460.