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What is the Square Root of 21672?

The square root of 21672 is 147.2141297566. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√21672 = 147.2141297566
CalculatedNon-perfect squareIrrational
Exact form√21672
Perfect squareNo
Number typeIrrational
Verification147.21412975662 ≈ 21672

On this page

How the answer is calculated

We solve x2 = 21672. The resulting value is x = 147.2141297566.

Verification: 147.21412975662 ≈ 21672.

Simplified radical form

The square root of 21672 in simplified radical form is 6√602.

This is equivalent to √21672, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14721609
Upper or equal14821904

Nearby square roots

NumberSquare root
√21669147.2039401647
√21670147.2073367737
√21671147.2107333043
√21672147.2141297566
√21673147.2175261306
√21674147.2209224261
√21675147.2243186434

Number properties

Is 21672 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√21672 is irrational because 21672 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 21672.