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What is the Square Root of 21625?

The square root of 21625 is 147.0544116985. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21625 = 147.0544116985
CalculatedNon-perfect squareIrrational
Exact form√21625
Perfect squareNo
Number typeIrrational
Verification147.05441169852 ≈ 21625

On this page

How the answer is calculated

We solve x2 = 21625. The resulting value is x = 147.0544116985.

Verification: 147.05441169852 ≈ 21625.

Simplified radical form

The square root of 21625 in simplified radical form is 5√865.

This is equivalent to √21625, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14721609
Upper or equal14821904

Nearby square roots

NumberSquare root
√21622147.0442110387
√21623147.0476113373
√21624147.0510115572
√21625147.0544116985
√21626147.0578117612
√21627147.0612117453
√21628147.0646116508

Number properties

Is 21625 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21625 is irrational because 21625 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 21625.