What is the Square Root of 16320?

The square root of 16320 is 127.7497553814. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16320 = 127.7497553814
CalculatedNon-perfect squareIrrational
Exact form√16320
Perfect squareNo
Number typeIrrational
Verification127.74975538142 ≈ 16320

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How the answer is calculated

We solve x2 = 16320. The resulting value is x = 127.7497553814.

Verification: 127.74975538142 ≈ 16320.

Simplified radical form

The square root of 16320 in simplified radical form is 8√255.

This is equivalent to √16320, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16317127.7380131363
√16318127.7419273379
√16319127.7458414196
√16320127.7497553814
√16321127.7536692232
√16322127.7575829452
√16323127.7614965473

Number properties

Is 16320 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16320 is irrational because 16320 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 16320.