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What is the Square Root of 21988?

The square root of 21988 is 148.2835122325. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21988 = 148.2835122325
CalculatedNon-perfect squareIrrational
Exact form√21988
Perfect squareNo
Number typeIrrational
Verification148.28351223252 ≈ 21988

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How the answer is calculated

We solve x2 = 21988. The resulting value is x = 148.2835122325.

Verification: 148.28351223252 ≈ 21988.

Simplified radical form

The square root of 21988 in simplified radical form is 2√5497.

This is equivalent to √21988, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14821904
Upper or equal14922201

Nearby square roots

NumberSquare root
√21985148.2733961303
√21986148.276768241
√21987148.2801402751
√21988148.2835122325
√21989148.2868841132
√21990148.2902559172
√21991148.2936276446

Number properties

Is 21988 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21988 is irrational because 21988 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 21988.