What is the Square Root of 17340?

The square root of 17340 is 131.6814337711. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17340 = 131.6814337711
CalculatedNon-perfect squareIrrational
Exact form√17340
Perfect squareNo
Number typeIrrational
Verification131.68143377112 ≈ 17340

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How the answer is calculated

We solve x2 = 17340. The resulting value is x = 131.6814337711.

Verification: 131.68143377112 ≈ 17340.

Simplified radical form

The square root of 17340 in simplified radical form is 34√15.

This is equivalent to √17340, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13117161
Upper or equal13217424

Nearby square roots

NumberSquare root
√17337131.6700421508
√17338131.6738394671
√17339131.6776366738
√17340131.6814337711
√17341131.6852307588
√17342131.6890276371
√17343131.6928244059

Number properties

Is 17340 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17340 is irrational because 17340 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 17340.