What is the Square Root of 140?

The square root of 140 is 11.8321595662. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√140 = 11.8321595662
CalculatedNon-perfect squareIrrational
Exact form√140
Perfect squareNo
Number typeIrrational
Verification11.83215956622 ≈ 140

On this page

How the answer is calculated

We solve x2 = 140. The resulting value is x = 11.8321595662.

Verification: 11.83215956622 ≈ 140.

Simplified radical form

The square root of 140 in simplified radical form is 2√35.

This is equivalent to √140, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11121
Upper or equal12144

Nearby square roots

NumberSquare root
√13711.7046999107
√13811.7473401245
√13911.7898261226
√14011.8321595662
√14111.874342087
√14211.9163752878
√14311.9582607431

Number properties

Is 140 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√140 is irrational because 140 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 140.