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What is the Square Root of 27493?

The square root of 27493 is 165.8101323804. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27493 = 165.8101323804
CalculatedNon-perfect squareIrrational
Exact form√27493
Perfect squareNo
Number typeIrrational
Verification165.81013238042 ≈ 27493

On this page

How the answer is calculated

We solve x2 = 27493. The resulting value is x = 165.8101323804.

Verification: 165.81013238042 ≈ 27493.

Simplified radical form

The square root of 27493 in simplified radical form is √27493.

There are no square factors that can be taken outside the radical, so √27493 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27490165.8010856418
√27491165.8041012762
√27492165.8071168557
√27493165.8101323804
√27494165.8131478502
√27495165.8161632652
√27496165.8191786254

Number properties

Is 27493 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27493 is irrational because 27493 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 27493.