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What is the Square Root of 120?

The square root of 120 is 10.9544511501. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√120 = 10.9544511501
CalculatedNon-perfect squareIrrational
Exact form√120
Perfect squareNo
Number typeIrrational
Verification10.95445115012 ≈ 120

On this page

How the answer is calculated

We solve x2 = 120. The resulting value is x = 10.9544511501.

Verification: 10.95445115012 ≈ 120.

Simplified radical form

The square root of 120 in simplified radical form is 2√30.

This is equivalent to √120, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10100
Upper or equal11121

Nearby square roots

NumberSquare root
√11710.8166538264
√11810.8627804912
√11910.9087121146
√12010.9544511501
√12111
√12211.0453610172
√12311.0905365064

Number properties

Is 120 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√120 is irrational because 120 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 120.