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What is the Square Root of 27409?

The square root of 27409 is 165.5566368346. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27409 = 165.5566368346
CalculatedNon-perfect squareIrrational
Exact form√27409
Perfect squareNo
Number typeIrrational
Verification165.55663683462 ≈ 27409

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How the answer is calculated

We solve x2 = 27409. The resulting value is x = 165.5566368346.

Verification: 165.55663683462 ≈ 27409.

Simplified radical form

The square root of 27409 in simplified radical form is √27409.

There are no square factors that can be taken outside the radical, so √27409 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27406165.5475762432
√27407165.5505964955
√27408165.5536166926
√27409165.5566368346
√27410165.5596569216
√27411165.5626769535
√27412165.5656969303

Number properties

Is 27409 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27409 is irrational because 27409 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 27409.