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What is the Square Root of 135?

The square root of 135 is 11.6189500386. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√135 = 11.6189500386
CalculatedNon-perfect squareIrrational
Exact form√135
Perfect squareNo
Number typeIrrational
Verification11.61895003862 ≈ 135

On this page

How the answer is calculated

We solve x2 = 135. The resulting value is x = 11.6189500386.

Verification: 11.61895003862 ≈ 135.

Simplified radical form

The square root of 135 in simplified radical form is 3√15.

This is equivalent to √135, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11121
Upper or equal12144

Nearby square roots

NumberSquare root
√13211.4891252931
√13311.5325625947
√13411.5758369028
√13511.6189500386
√13611.6619037897
√13711.7046999107
√13811.7473401245

Number properties

Is 135 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√135 is irrational because 135 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 135.