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What is the Square Root of 1449?

The square root of 1449 is 38.0657326213. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1449 = 38.0657326213
CalculatedNon-perfect squareIrrational
Exact form√1449
Perfect squareNo
Number typeIrrational
Verification38.06573262132 ≈ 1449

On this page

How the answer is calculated

We solve x2 = 1449. The resulting value is x = 38.0657326213.

Verification: 38.06573262132 ≈ 1449.

Simplified radical form

The square root of 1449 in simplified radical form is 3√161.

This is equivalent to √1449, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√144638.0263066837
√144738.0394532032
√144838.0525951809
√144938.0657326213
√145038.0788655293
√145138.0919939095
√145238.1051177665

Number properties

Is 1449 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1449 is irrational because 1449 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 1449.