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What is the Square Root of 1500?

The square root of 1500 is 38.7298334621. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1500 = 38.7298334621
CalculatedNon-perfect squareIrrational
Exact form√1500
Perfect squareNo
Number typeIrrational
Verification38.72983346212 ≈ 1500

On this page

How the answer is calculated

We solve x2 = 1500. The resulting value is x = 38.7298334621.

Verification: 38.72983346212 ≈ 1500.

Simplified radical form

The square root of 1500 in simplified radical form is 10√15.

This is equivalent to √1500, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal381444
Upper or equal391521

Nearby square roots

NumberSquare root
√149738.6910842443
√149838.7040049607
√149938.7169213652
√150038.7298334621
√150138.7427412556
√150238.7556447502
√150338.76854395

Number properties

Is 1500 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1500 is irrational because 1500 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 1500.