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What is the Square Root of 5409?

The square root of 5409 is 73.5459040328. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5409 = 73.5459040328
CalculatedNon-perfect squareIrrational
Exact form√5409
Perfect squareNo
Number typeIrrational
Verification73.54590403282 ≈ 5409

On this page

How the answer is calculated

We solve x2 = 5409. The resulting value is x = 73.5459040328.

Verification: 73.54590403282 ≈ 5409.

Simplified radical form

The square root of 5409 in simplified radical form is 3√601.

This is equivalent to √5409, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal735329
Upper or equal745476

Nearby square roots

NumberSquare root
√540673.5255057786
√540773.5323058254
√540873.5391052434
√540973.5459040328
√541073.5527021937
√541173.5594997264
√541273.566296631

Number properties

Is 5409 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5409 is irrational because 5409 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 5409.