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What is the Square Root of 13709?

The square root of 13709 is 117.0854388897. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13709 = 117.0854388897
CalculatedNon-perfect squareIrrational
Exact form√13709
Perfect squareNo
Number typeIrrational
Verification117.08543888972 ≈ 13709

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How the answer is calculated

We solve x2 = 13709. The resulting value is x = 117.0854388897.

Verification: 117.08543888972 ≈ 13709.

Simplified radical form

The square root of 13709 in simplified radical form is √13709.

There are no square factors that can be taken outside the radical, so √13709 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13706117.0726270313
√13707117.0768978065
√13708117.081168426
√13709117.0854388897
√13710117.0897091977
√13711117.0939793499
√13712117.0982493464

Number properties

Is 13709 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13709 is irrational because 13709 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 13709.