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What is the Square Root of 476?

The square root of 476 is 21.8174242293. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√476 = 21.8174242293
CalculatedNon-perfect squareIrrational
Exact form√476
Perfect squareNo
Number typeIrrational
Verification21.81742422932 ≈ 476

On this page

How the answer is calculated

We solve x2 = 476. The resulting value is x = 21.8174242293.

Verification: 21.81742422932 ≈ 476.

Simplified radical form

The square root of 476 in simplified radical form is 2√119.

This is equivalent to √476, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal22484

Nearby square roots

NumberSquare root
√47321.7485631709
√47421.7715410571
√47521.7944947177
√47621.8174242293
√47721.8403296678
√47821.8632111091
√47921.8860686282

Number properties

Is 476 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√476 is irrational because 476 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 476.