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What is the Square Root of 3789?

The square root of 3789 is 61.554853586. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3789 = 61.554853586
CalculatedNon-perfect squareIrrational
Exact form√3789
Perfect squareNo
Number typeIrrational
Verification61.5548535862 ≈ 3789

On this page

How the answer is calculated

We solve x2 = 3789. The resulting value is x = 61.554853586.

Verification: 61.5548535862 ≈ 3789.

Simplified radical form

The square root of 3789 in simplified radical form is 3√421.

This is equivalent to √3789, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal613721
Upper or equal623844

Nearby square roots

NumberSquare root
√378661.5304802517
√378761.5386057691
√378861.5467302137
√378961.554853586
√379061.5629758865
√379161.5710971154
√379261.5792172734

Number properties

Is 3789 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3789 is irrational because 3789 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 3789.