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What is the Square Root of 16340?

The square root of 16340 is 127.8280094502. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16340 = 127.8280094502
CalculatedNon-perfect squareIrrational
Exact form√16340
Perfect squareNo
Number typeIrrational
Verification127.82800945022 ≈ 16340

On this page

How the answer is calculated

We solve x2 = 16340. The resulting value is x = 127.8280094502.

Verification: 127.82800945022 ≈ 16340.

Simplified radical form

The square root of 16340 in simplified radical form is 2√4085.

This is equivalent to √16340, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16337127.8162743941
√16338127.8201861992
√16339127.8240978846
√16340127.8280094502
√16341127.8319208962
√16342127.8358322224
√16343127.839743429

Number properties

Is 16340 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16340 is irrational because 16340 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 16340.