What is the Square Root of 12980?

The square root of 12980 is 113.929802949. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12980 = 113.929802949
CalculatedNon-perfect squareIrrational
Exact form√12980
Perfect squareNo
Number typeIrrational
Verification113.9298029492 ≈ 12980

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How the answer is calculated

We solve x2 = 12980. The resulting value is x = 113.929802949.

Verification: 113.9298029492 ≈ 12980.

Simplified radical form

The square root of 12980 in simplified radical form is 2√3245.

This is equivalent to √12980, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11312769
Upper or equal11412996

Nearby square roots

NumberSquare root
√12977113.9166361863
√12978113.9210252763
√12979113.9254141972
√12980113.929802949
√12981113.9341915318
√12982113.9385799455
√12983113.9429681902

Number properties

Is 12980 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12980 is irrational because 12980 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 12980.