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What is the Square Root of 21116?

The square root of 21116 is 145.3134542979. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21116 = 145.3134542979
CalculatedNon-perfect squareIrrational
Exact form√21116
Perfect squareNo
Number typeIrrational
Verification145.31345429792 ≈ 21116

On this page

How the answer is calculated

We solve x2 = 21116. The resulting value is x = 145.3134542979.

Verification: 145.31345429792 ≈ 21116.

Simplified radical form

The square root of 21116 in simplified radical form is 2√5279.

This is equivalent to √21116, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14521025
Upper or equal14621316

Nearby square roots

NumberSquare root
√21113145.3031314184
√21114145.3065724597
√21115145.3100134196
√21116145.3134542979
√21117145.3168950948
√21118145.3203358102
√21119145.3237764442

Number properties

Is 21116 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21116 is irrational because 21116 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 21116.