What is the Square Root of 3788?

The square root of 3788 is 61.5467302137. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√3788 = 61.5467302137
CalculatedNon-perfect squareIrrational
Exact form√3788
Perfect squareNo
Number typeIrrational
Verification61.54673021372 ≈ 3788

On this page

How the answer is calculated

We solve x2 = 3788. The resulting value is x = 61.5467302137.

Verification: 61.54673021372 ≈ 3788.

Simplified radical form

The square root of 3788 in simplified radical form is 2√947.

This is equivalent to √3788, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal613721
Upper or equal623844

Nearby square roots

NumberSquare root
√378561.5223536611
√378661.5304802517
√378761.5386057691
√378861.5467302137
√378961.554853586
√379061.5629758865
√379161.5710971154

Number properties

Is 3788 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√3788 is irrational because 3788 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 3788.