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What is the Square Root of 16400?

The square root of 16400 is 128.0624847487. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16400 = 128.0624847487
CalculatedNon-perfect squareIrrational
Exact form√16400
Perfect squareNo
Number typeIrrational
Verification128.06248474872 ≈ 16400

On this page

How the answer is calculated

We solve x2 = 16400. The resulting value is x = 128.0624847487.

Verification: 128.06248474872 ≈ 16400.

Simplified radical form

The square root of 16400 in simplified radical form is 20√41.

This is equivalent to √16400, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12916641

Nearby square roots

NumberSquare root
√16397128.0507711808
√16398128.0546758225
√16399128.0585803451
√16400128.0624847487
√16401128.0663890332
√16402128.0702931987
√16403128.0741972452

Number properties

Is 16400 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16400 is irrational because 16400 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 16400.