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What is the Square Root of 16393?

The square root of 16393 is 128.0351514233. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16393 = 128.0351514233
CalculatedNon-perfect squareIrrational
Exact form√16393
Perfect squareNo
Number typeIrrational
Verification128.03515142332 ≈ 16393

On this page

How the answer is calculated

We solve x2 = 16393. The resulting value is x = 128.0351514233.

Verification: 128.03515142332 ≈ 16393.

Simplified radical form

The square root of 16393 in simplified radical form is 13√97.

This is equivalent to √16393, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12916641

Nearby square roots

NumberSquare root
√16390128.0234353546
√16391128.02734083
√16392128.0312461862
√16393128.0351514233
√16394128.0390565414
√16395128.0429615403
√16396128.0468664201

Number properties

Is 16393 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16393 is irrational because 16393 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 16393.