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What is the Square Root of 21671?

The square root of 21671 is 147.2107333043. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21671 = 147.2107333043
CalculatedNon-perfect squareIrrational
Exact form√21671
Perfect squareNo
Number typeIrrational
Verification147.21073330432 ≈ 21671

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How the answer is calculated

We solve x2 = 21671. The resulting value is x = 147.2107333043.

Verification: 147.21073330432 ≈ 21671.

Simplified radical form

The square root of 21671 in simplified radical form is √21671.

There are no square factors that can be taken outside the radical, so √21671 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14721609
Upper or equal14821904

Nearby square roots

NumberSquare root
√21668147.2005434773
√21669147.2039401647
√21670147.2073367737
√21671147.2107333043
√21672147.2141297566
√21673147.2175261306
√21674147.2209224261

Number properties

Is 21671 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21671 is irrational because 21671 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 21671.