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What is the Square Root of 1471?

The square root of 1471 is 38.3536178215. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1471 = 38.3536178215
CalculatedNon-perfect squareIrrational
Exact form√1471
Perfect squareNo
Number typeIrrational
Verification38.35361782152 ≈ 1471

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How the answer is calculated

We solve x2 = 1471. The resulting value is x = 38.3536178215.

Verification: 38.35361782152 ≈ 1471.

Simplified radical form

The square root of 1471 in simplified radical form is √1471.

There are no square factors that can be taken outside the radical, so √1471 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√146838.3144881213
√146938.3275357935
√147038.3405790254
√147138.3536178215
√147238.3666521865
√147338.3796821248
√147438.3927076409

Number properties

Is 1471 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1471 is irrational because 1471 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 1471.