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What is the Square Root of 440?

The square root of 440 is 20.9761769634. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√440 = 20.9761769634
CalculatedNon-perfect squareIrrational
Exact form√440
Perfect squareNo
Number typeIrrational
Verification20.97617696342 ≈ 440

On this page

How the answer is calculated

We solve x2 = 440. The resulting value is x = 20.9761769634.

Verification: 20.97617696342 ≈ 440.

Simplified radical form

The square root of 440 in simplified radical form is 2√110.

This is equivalent to √440, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal20400
Upper or equal21441

Nearby square roots

NumberSquare root
√43720.9045449604
√43820.9284495365
√43920.9523268398
√44020.9761769634
√44121
√44221.0237960416
√44321.0475651798

Number properties

Is 440 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√440 is irrational because 440 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 440.