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What is the Square Root of 16461?

The square root of 16461 is 128.3004286821. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16461 = 128.3004286821
CalculatedNon-perfect squareIrrational
Exact form√16461
Perfect squareNo
Number typeIrrational
Verification128.30042868212 ≈ 16461

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How the answer is calculated

We solve x2 = 16461. The resulting value is x = 128.3004286821.

Verification: 128.30042868212 ≈ 16461.

Simplified radical form

The square root of 16461 in simplified radical form is 3√1829.

This is equivalent to √16461, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12916641

Nearby square roots

NumberSquare root
√16458128.28873684
√16459128.2926342391
√16460128.2965315198
√16461128.3004286821
√16462128.304325726
√16463128.3082226516
√16464128.3121194588

Number properties

Is 16461 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16461 is irrational because 16461 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 16461.