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What is the Square Root of 12825?

The square root of 12825 is 113.2475165291. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√12825 = 113.2475165291
CalculatedNon-perfect squareIrrational
Exact form√12825
Perfect squareNo
Number typeIrrational
Verification113.24751652912 ≈ 12825

On this page

How the answer is calculated

We solve x2 = 12825. The resulting value is x = 113.2475165291.

Verification: 113.24751652912 ≈ 12825.

Simplified radical form

The square root of 12825 in simplified radical form is 15√57.

This is equivalent to √12825, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11312769
Upper or equal11412996

Nearby square roots

NumberSquare root
√12822113.2342704308
√12823113.2386859691
√12824113.2431013351
√12825113.2475165291
√12826113.2519315509
√12827113.2563464005
√12828113.2607610781

Number properties

Is 12825 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√12825 is irrational because 12825 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 12825.