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What is the Square Root of 17888?

The square root of 17888 is 133.7460279784. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17888 = 133.7460279784
CalculatedNon-perfect squareIrrational
Exact form√17888
Perfect squareNo
Number typeIrrational
Verification133.74602797842 ≈ 17888

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How the answer is calculated

We solve x2 = 17888. The resulting value is x = 133.7460279784.

Verification: 133.74602797842 ≈ 17888.

Simplified radical form

The square root of 17888 in simplified radical form is 4√1118.

This is equivalent to √17888, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13317689
Upper or equal13417956

Nearby square roots

NumberSquare root
√17885133.7348122218
√17886133.7385509118
√17887133.7422894974
√17888133.7460279784
√17889133.7497663549
√17890133.753504627
√17891133.7572427945

Number properties

Is 17888 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17888 is irrational because 17888 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 17888.