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What is the Square Root of 27461?

The square root of 27461 is 165.713608373. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27461 = 165.713608373
CalculatedNon-perfect squareIrrational
Exact form√27461
Perfect squareNo
Number typeIrrational
Verification165.7136083732 ≈ 27461

On this page

How the answer is calculated

We solve x2 = 27461. The resulting value is x = 165.713608373.

Verification: 165.7136083732 ≈ 27461.

Simplified radical form

The square root of 27461 in simplified radical form is √27461.

There are no square factors that can be taken outside the radical, so √27461 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27458165.7045563646
√27459165.7075737557
√27460165.7105910918
√27461165.713608373
√27462165.7166255992
√27463165.7196427706
√27464165.7226598869

Number properties

Is 27461 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27461 is irrational because 27461 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 27461.