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What is the Square Root of 21412?

The square root of 21412 is 146.3283977907. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21412 = 146.3283977907
CalculatedNon-perfect squareIrrational
Exact form√21412
Perfect squareNo
Number typeIrrational
Verification146.32839779072 ≈ 21412

On this page

How the answer is calculated

We solve x2 = 21412. The resulting value is x = 146.3283977907.

Verification: 146.32839779072 ≈ 21412.

Simplified radical form

The square root of 21412 in simplified radical form is 2√5353.

This is equivalent to √21412, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14621316
Upper or equal14721609

Nearby square roots

NumberSquare root
√21409146.3181465164
√21410146.3215636877
√21411146.3249807791
√21412146.3283977907
√21413146.3318147226
√21414146.3352315746
√21415146.3386483469

Number properties

Is 21412 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21412 is irrational because 21412 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 21412.