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What is the Square Root of 21072?

The square root of 21072 is 145.161978493. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21072 = 145.161978493
CalculatedNon-perfect squareIrrational
Exact form√21072
Perfect squareNo
Number typeIrrational
Verification145.1619784932 ≈ 21072

On this page

How the answer is calculated

We solve x2 = 21072. The resulting value is x = 145.161978493.

Verification: 145.1619784932 ≈ 21072.

Simplified radical form

The square root of 21072 in simplified radical form is 4√1317.

This is equivalent to √21072, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21069145.1516448408
√21070145.1550894733
√21071145.158534024
√21072145.161978493
√21073145.1654228802
√21074145.1688671858
√21075145.1723114096

Number properties

Is 21072 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21072 is irrational because 21072 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 21072.