What is the Square Root of 16513?

The square root of 16513 is 128.5029182548. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16513 = 128.5029182548
CalculatedNon-perfect squareIrrational
Exact form√16513
Perfect squareNo
Number typeIrrational
Verification128.50291825482 ≈ 16513

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How the answer is calculated

We solve x2 = 16513. The resulting value is x = 128.5029182548.

Verification: 128.50291825482 ≈ 16513.

Simplified radical form

The square root of 16513 in simplified radical form is 7√337.

This is equivalent to √16513, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12916641

Nearby square roots

NumberSquare root
√16510128.4912448379
√16511128.4951360947
√16512128.4990272337
√16513128.5029182548
√16514128.5068091581
√16515128.5106999436
√16516128.5145906113

Number properties

Is 16513 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16513 is irrational because 16513 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 16513.