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What is the Square Root of 6404?

The square root of 6404 is 80.024996095. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6404 = 80.024996095
CalculatedNon-perfect squareIrrational
Exact form√6404
Perfect squareNo
Number typeIrrational
Verification80.0249960952 ≈ 6404

On this page

How the answer is calculated

We solve x2 = 6404. The resulting value is x = 80.024996095.

Verification: 80.0249960952 ≈ 6404.

Simplified radical form

The square root of 6404 in simplified radical form is 2√1601.

This is equivalent to √6404, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal806400
Upper or equal816561

Nearby square roots

NumberSquare root
√640180.0062497559
√640280.0124990236
√640380.0187478032
√640480.024996095
√640580.0312438989
√640680.0374912151
√640780.0437380436

Number properties

Is 6404 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6404 is irrational because 6404 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 6404.