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What is the Square Root of 21296?

The square root of 21296 is 145.9314907756. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21296 = 145.9314907756
CalculatedNon-perfect squareIrrational
Exact form√21296
Perfect squareNo
Number typeIrrational
Verification145.93149077562 ≈ 21296

On this page

How the answer is calculated

We solve x2 = 21296. The resulting value is x = 145.9314907756.

Verification: 145.93149077562 ≈ 21296.

Simplified radical form

The square root of 21296 in simplified radical form is 44√11.

This is equivalent to √21296, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21293145.9212116178
√21294145.9246380842
√21295145.9280644701
√21296145.9314907756
√21297145.9349170007
√21298145.9383431453
√21299145.9417692095

Number properties

Is 21296 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21296 is irrational because 21296 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 21296.