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What is the Square Root of 17920?

The square root of 17920 is 133.8656042455. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17920 = 133.8656042455
CalculatedNon-perfect squareIrrational
Exact form√17920
Perfect squareNo
Number typeIrrational
Verification133.86560424552 ≈ 17920

On this page

How the answer is calculated

We solve x2 = 17920. The resulting value is x = 133.8656042455.

Verification: 133.86560424552 ≈ 17920.

Simplified radical form

The square root of 17920 in simplified radical form is 16√70.

This is equivalent to √17920, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13317689
Upper or equal13417956

Nearby square roots

NumberSquare root
√17917133.8543985082
√17918133.8581338582
√17919133.8618691039
√17920133.8656042455
√17921133.8693392827
√17922133.8730742158
√17923133.8768090447

Number properties

Is 17920 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17920 is irrational because 17920 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 17920.