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What is the Square Root of 12900?

The square root of 12900 is 113.578166916. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12900 = 113.578166916
CalculatedNon-perfect squareIrrational
Exact form√12900
Perfect squareNo
Number typeIrrational
Verification113.5781669162 ≈ 12900

On this page

How the answer is calculated

We solve x2 = 12900. The resulting value is x = 113.578166916.

Verification: 113.5781669162 ≈ 12900.

Simplified radical form

The square root of 12900 in simplified radical form is 10√129.

This is equivalent to √12900, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11312769
Upper or equal11412996

Nearby square roots

NumberSquare root
√12897113.5649593845
√12898113.5693620657
√12899113.5737645762
√12900113.578166916
√12901113.5825690852
√12902113.5869710838
√12903113.5913729119

Number properties

Is 12900 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12900 is irrational because 12900 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 12900.