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What is the Square Root of 21132?

The square root of 21132 is 145.368497275. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21132 = 145.368497275
CalculatedNon-perfect squareIrrational
Exact form√21132
Perfect squareNo
Number typeIrrational
Verification145.3684972752 ≈ 21132

On this page

How the answer is calculated

We solve x2 = 21132. The resulting value is x = 145.368497275.

Verification: 145.3684972752 ≈ 21132.

Simplified radical form

The square root of 21132 in simplified radical form is 6√587.

This is equivalent to √21132, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21129145.3581783045
√21130145.3616180427
√21131145.3650576996
√21132145.368497275
√21133145.3719367691
√21134145.3753761818
√21135145.3788155131

Number properties

Is 21132 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21132 is irrational because 21132 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 21132.