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What is the Square Root of 27380?

The square root of 27380 is 165.469030335. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27380 = 165.469030335
CalculatedNon-perfect squareIrrational
Exact form√27380
Perfect squareNo
Number typeIrrational
Verification165.4690303352 ≈ 27380

On this page

How the answer is calculated

We solve x2 = 27380. The resulting value is x = 165.469030335.

Verification: 165.4690303352 ≈ 27380.

Simplified radical form

The square root of 27380 in simplified radical form is 74√5.

This is equivalent to √27380, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27377165.4599649462
√27378165.4629867977
√27379165.4660085939
√27380165.469030335
√27381165.4720520209
√27382165.4750736516
√27383165.4780952271

Number properties

Is 27380 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27380 is irrational because 27380 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 27380.