What is the Square Root of 609?

The square root of 609 is 24.6779253585. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√609 = 24.6779253585
CalculatedNon-perfect squareIrrational
Exact form√609
Perfect squareNo
Number typeIrrational
Verification24.67792535852 ≈ 609

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How the answer is calculated

We solve x2 = 609. The resulting value is x = 24.6779253585.

Verification: 24.67792535852 ≈ 609.

Simplified radical form

The square root of 609 in simplified radical form is √609.

There are no square factors that can be taken outside the radical, so √609 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal24576
Upper or equal25625

Nearby square roots

NumberSquare root
√60624.6170672502
√60724.6373699895
√60824.6576560119
√60924.6779253585
√61024.6981780705
√61124.7184141886
√61224.7386337537

Number properties

Is 609 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√609 is irrational because 609 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 609.