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What is the Square Root of 21149?

The square root of 21149 is 145.426957611. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21149 = 145.426957611
CalculatedNon-perfect squareIrrational
Exact form√21149
Perfect squareNo
Number typeIrrational
Verification145.4269576112 ≈ 21149

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How the answer is calculated

We solve x2 = 21149. The resulting value is x = 145.426957611.

Verification: 145.4269576112 ≈ 21149.

Simplified radical form

The square root of 21149 in simplified radical form is √21149.

There are no square factors that can be taken outside the radical, so √21149 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21146145.4166427889
√21147145.4200811442
√21148145.4235194183
√21149145.426957611
√21150145.4303957225
√21151145.4338337527
√21152145.4372717016

Number properties

Is 21149 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21149 is irrational because 21149 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 21149.