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What is the Square Root of 1476?

The square root of 1476 is 38.4187454246. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1476 = 38.4187454246
CalculatedNon-perfect squareIrrational
Exact form√1476
Perfect squareNo
Number typeIrrational
Verification38.41874542462 ≈ 1476

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How the answer is calculated

We solve x2 = 1476. The resulting value is x = 38.4187454246.

Verification: 38.41874542462 ≈ 1476.

Simplified radical form

The square root of 1476 in simplified radical form is 6√41.

This is equivalent to √1476, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√147338.3796821248
√147438.3927076409
√147538.4057287393
√147638.4187454246
√147738.4317577012
√147838.4447655735
√147938.4577690461

Number properties

Is 1476 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1476 is irrational because 1476 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 1476.