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What is the Square Root of 360?

The square root of 360 is 18.973665961. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√360 = 18.973665961
CalculatedNon-perfect squareIrrational
Exact form√360
Perfect squareNo
Number typeIrrational
Verification18.9736659612 ≈ 360

On this page

How the answer is calculated

We solve x2 = 360. The resulting value is x = 18.973665961.

Verification: 18.9736659612 ≈ 360.

Simplified radical form

The square root of 360 in simplified radical form is 6√10.

This is equivalent to √360, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal18324
Upper or equal19361

Nearby square roots

NumberSquare root
√35718.8944436277
√35818.9208879284
√35918.9472953215
√36018.973665961
√36119
√36219.0262975904
√36319.0525588833

Number properties

Is 360 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√360 is irrational because 360 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 360.