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What is the Square Root of 16807?

The square root of 16807 is 129.6418142422. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16807 = 129.6418142422
CalculatedNon-perfect squareIrrational
Exact form√16807
Perfect squareNo
Number typeIrrational
Verification129.64181424222 ≈ 16807

On this page

How the answer is calculated

We solve x2 = 16807. The resulting value is x = 129.6418142422.

Verification: 129.64181424222 ≈ 16807.

Simplified radical form

The square root of 16807 in simplified radical form is 49√7.

This is equivalent to √16807, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16804129.6302433848
√16805129.634100452
√16806129.6379574045
√16807129.6418142422
√16808129.6456709651
√16809129.6495275734
√16810129.6533840669

Number properties

Is 16807 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16807 is irrational because 16807 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 16807.