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What is the Square Root of 27478?

The square root of 27478 is 165.7648937502. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27478 = 165.7648937502
CalculatedNon-perfect squareIrrational
Exact form√27478
Perfect squareNo
Number typeIrrational
Verification165.76489375022 ≈ 27478

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How the answer is calculated

We solve x2 = 27478. The resulting value is x = 165.7648937502.

Verification: 165.76489375022 ≈ 27478.

Simplified radical form

The square root of 27478 in simplified radical form is √27478.

There are no square factors that can be taken outside the radical, so √27478 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27475165.7558445425
√27476165.7588609999
√27477165.7618774025
√27478165.7648937502
√27479165.7679100429
√27480165.7709262808
√27481165.7739424638

Number properties

Is 27478 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27478 is irrational because 27478 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 27478.