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What is the Square Root of 13475?

The square root of 13475 is 116.0818676624. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13475 = 116.0818676624
CalculatedNon-perfect squareIrrational
Exact form√13475
Perfect squareNo
Number typeIrrational
Verification116.08186766242 ≈ 13475

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How the answer is calculated

We solve x2 = 13475. The resulting value is x = 116.0818676624.

Verification: 116.08186766242 ≈ 13475.

Simplified radical form

The square root of 13475 in simplified radical form is 35√11.

This is equivalent to √13475, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13472116.0689450284
√13473116.0732527329
√13474116.0775602776
√13475116.0818676624
√13476116.0861748875
√13477116.0904819527
√13478116.0947888581

Number properties

Is 13475 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13475 is irrational because 13475 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 13475.