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What is the Square Root of 21248?

The square root of 21248 is 145.7669372663. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21248 = 145.7669372663
CalculatedNon-perfect squareIrrational
Exact form√21248
Perfect squareNo
Number typeIrrational
Verification145.76693726632 ≈ 21248

On this page

How the answer is calculated

We solve x2 = 21248. The resulting value is x = 145.7669372663.

Verification: 145.76693726632 ≈ 21248.

Simplified radical form

The square root of 21248 in simplified radical form is 16√83.

This is equivalent to √21248, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21245145.7566465037
√21246145.7600768386
√21247145.7635070928
√21248145.7669372663
√21249145.7703673591
√21250145.7737973711
√21251145.7772273025

Number properties

Is 21248 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21248 is irrational because 21248 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 21248.