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What is the Square Root of 3825?

The square root of 3825 is 61.8465843843. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3825 = 61.8465843843
CalculatedNon-perfect squareIrrational
Exact form√3825
Perfect squareNo
Number typeIrrational
Verification61.84658438432 ≈ 3825

On this page

How the answer is calculated

We solve x2 = 3825. The resulting value is x = 61.8465843843.

Verification: 61.84658438432 ≈ 3825.

Simplified radical form

The square root of 3825 in simplified radical form is 15√17.

This is equivalent to √3825, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal613721
Upper or equal623844

Nearby square roots

NumberSquare root
√382261.8223260643
√382361.8304132284
√382461.838499335
√382561.8465843843
√382661.8546683768
√382761.8627513129
√382861.870833193

Number properties

Is 3825 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3825 is irrational because 3825 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 3825.