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What is the Square Root of 16214?

The square root of 16214 is 127.3342059307. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16214 = 127.3342059307
CalculatedNon-perfect squareIrrational
Exact form√16214
Perfect squareNo
Number typeIrrational
Verification127.33420593072 ≈ 16214

On this page

How the answer is calculated

We solve x2 = 16214. The resulting value is x = 127.3342059307.

Verification: 127.33420593072 ≈ 16214.

Simplified radical form

The square root of 16214 in simplified radical form is 11√134.

This is equivalent to √16214, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16211127.3224253618
√16212127.3263523392
√16213127.3302791955
√16214127.3342059307
√16215127.3381325448
√16216127.3420590379
√16217127.3459854098

Number properties

Is 16214 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16214 is irrational because 16214 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 16214.