What is the Square Root of 17291?

The square root of 17291 is 131.4952470624. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17291 = 131.4952470624
CalculatedNon-perfect squareIrrational
Exact form√17291
Perfect squareNo
Number typeIrrational
Verification131.49524706242 ≈ 17291

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How the answer is calculated

We solve x2 = 17291. The resulting value is x = 131.4952470624.

Verification: 131.49524706242 ≈ 17291.

Simplified radical form

The square root of 17291 in simplified radical form is √17291.

There are no square factors that can be taken outside the radical, so √17291 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13117161
Upper or equal13217424

Nearby square roots

NumberSquare root
√17288131.4838393111
√17289131.4876420049
√17290131.4914445886
√17291131.4952470624
√17292131.4990494262
√17293131.5028516801
√17294131.5066538241

Number properties

Is 17291 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17291 is irrational because 17291 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 17291.