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What is the Square Root of 1467?

The square root of 1467 is 38.3014360044. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1467 = 38.3014360044
CalculatedNon-perfect squareIrrational
Exact form√1467
Perfect squareNo
Number typeIrrational
Verification38.30143600442 ≈ 1467

On this page

How the answer is calculated

We solve x2 = 1467. The resulting value is x = 38.3014360044.

Verification: 38.30143600442 ≈ 1467.

Simplified radical form

The square root of 1467 in simplified radical form is 3√163.

This is equivalent to √1467, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√146438.2622529394
√146538.275318418
√146638.2883794382
√146738.3014360044
√146838.3144881213
√146938.3275357935
√147038.3405790254

Number properties

Is 1467 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1467 is irrational because 1467 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 1467.