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What is the Square Root of 1502?

The square root of 1502 is 38.7556447502. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1502 = 38.7556447502
CalculatedNon-perfect squareIrrational
Exact form√1502
Perfect squareNo
Number typeIrrational
Verification38.75564475022 ≈ 1502

On this page

How the answer is calculated

We solve x2 = 1502. The resulting value is x = 38.7556447502.

Verification: 38.75564475022 ≈ 1502.

Simplified radical form

The square root of 1502 in simplified radical form is √1502.

There are no square factors that can be taken outside the radical, so √1502 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√149938.7169213652
√150038.7298334621
√150138.7427412556
√150238.7556447502
√150338.76854395
√150438.7814388593
√150538.7943294825

Number properties

Is 1502 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1502 is irrational because 1502 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 1502.