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What is the Square Root of 27489?

The square root of 27489 is 165.7980699526. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27489 = 165.7980699526
CalculatedNon-perfect squareIrrational
Exact form√27489
Perfect squareNo
Number typeIrrational
Verification165.79806995262 ≈ 27489

On this page

How the answer is calculated

We solve x2 = 27489. The resulting value is x = 165.7980699526.

Verification: 165.79806995262 ≈ 27489.

Simplified radical form

The square root of 27489 in simplified radical form is 7√561.

This is equivalent to √27489, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27486165.7890225558
√27487165.7920384096
√27488165.7950542085
√27489165.7980699526
√27490165.8010856418
√27491165.8041012762
√27492165.8071168557

Number properties

Is 27489 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27489 is irrational because 27489 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 27489.