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What is the Square Root of 12993?

The square root of 12993 is 113.9868413458. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12993 = 113.9868413458
CalculatedNon-perfect squareIrrational
Exact form√12993
Perfect squareNo
Number typeIrrational
Verification113.98684134582 ≈ 12993

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How the answer is calculated

We solve x2 = 12993. The resulting value is x = 113.9868413458.

Verification: 113.98684134582 ≈ 12993.

Simplified radical form

The square root of 12993 in simplified radical form is √12993.

There are no square factors that can be taken outside the radical, so √12993 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11312769
Upper or equal11412996

Nearby square roots

NumberSquare root
√12990113.9736811725
√12991113.9780680657
√12992113.9824547902
√12993113.9868413458
√12994113.9912277327
√12995113.9956139507
√12996114

Number properties

Is 12993 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12993 is irrational because 12993 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 12993.