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What is the Square Root of 21049?

The square root of 21049 is 145.082735017. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21049 = 145.082735017
CalculatedNon-perfect squareIrrational
Exact form√21049
Perfect squareNo
Number typeIrrational
Verification145.0827350172 ≈ 21049

On this page

How the answer is calculated

We solve x2 = 21049. The resulting value is x = 145.082735017.

Verification: 145.0827350172 ≈ 21049.

Simplified radical form

The square root of 21049 in simplified radical form is √21049.

There are no square factors that can be taken outside the radical, so √21049 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21046145.0723957202
√21047145.0758422343
√21048145.0792886666
√21049145.082735017
√21050145.0861812855
√21051145.0896274721
√21052145.0930735769

Number properties

Is 21049 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21049 is irrational because 21049 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 21049.