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What is the Square Root of 17457?

The square root of 17457 is 132.1249408704. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17457 = 132.1249408704
CalculatedNon-perfect squareIrrational
Exact form√17457
Perfect squareNo
Number typeIrrational
Verification132.12494087042 ≈ 17457

On this page

How the answer is calculated

We solve x2 = 17457. The resulting value is x = 132.1249408704.

Verification: 132.12494087042 ≈ 17457.

Simplified radical form

The square root of 17457 in simplified radical form is 23√33.

This is equivalent to √17457, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13217424
Upper or equal13317689

Nearby square roots

NumberSquare root
√17454132.113587492
√17455132.1173720598
√17456132.1211565193
√17457132.1249408704
√17458132.1287251131
√17459132.1325092473
√17460132.1362932733

Number properties

Is 17457 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17457 is irrational because 17457 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 17457.