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What is the Square Root of 21217?

The square root of 21217 is 145.6605643268. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21217 = 145.6605643268
CalculatedNon-perfect squareIrrational
Exact form√21217
Perfect squareNo
Number typeIrrational
Verification145.66056432682 ≈ 21217

On this page

How the answer is calculated

We solve x2 = 21217. The resulting value is x = 145.6605643268.

Verification: 145.66056432682 ≈ 21217.

Simplified radical form

The square root of 21217 in simplified radical form is 7√433.

This is equivalent to √21217, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21214145.6502660485
√21215145.6536988888
√21216145.6571316483
√21217145.6605643268
√21218145.6639969244
√21219145.6674294412
√21220145.670861877

Number properties

Is 21217 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21217 is irrational because 21217 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 21217.