What is the Square Root of 16964?

The square root of 16964 is 130.2459212413. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16964 = 130.2459212413
CalculatedNon-perfect squareIrrational
Exact form√16964
Perfect squareNo
Number typeIrrational
Verification130.24592124132 ≈ 16964

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How the answer is calculated

We solve x2 = 16964. The resulting value is x = 130.2459212413.

Verification: 130.24592124132 ≈ 16964.

Simplified radical form

The square root of 16964 in simplified radical form is 2√4241.

This is equivalent to √16964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13016900
Upper or equal13117161

Nearby square roots

NumberSquare root
√16961130.2344040567
√16962130.2382432314
√16963130.2420822929
√16964130.2459212413
√16965130.2497600766
√16966130.2535987987
√16967130.2574374076

Number properties

Is 16964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16964 is irrational because 16964 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 16964.