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What is the Square Root of 21097?

The square root of 21097 is 145.2480636704. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21097 = 145.2480636704
CalculatedNon-perfect squareIrrational
Exact form√21097
Perfect squareNo
Number typeIrrational
Verification145.24806367042 ≈ 21097

On this page

How the answer is calculated

We solve x2 = 21097. The resulting value is x = 145.2480636704.

Verification: 145.24806367042 ≈ 21097.

Simplified radical form

The square root of 21097 in simplified radical form is 17√73.

This is equivalent to √21097, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21094145.2377361432
√21095145.2411787339
√21096145.2446212429
√21097145.2480636704
√21098145.2515060163
√21099145.2549482806
√21100145.2583904633

Number properties

Is 21097 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21097 is irrational because 21097 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 21097.