What is the Square Root of 155?

The square root of 155 is 12.449899598. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√155 = 12.449899598
CalculatedNon-perfect squareIrrational
Exact form√155
Perfect squareNo
Number typeIrrational
Verification12.4498995982 ≈ 155

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How the answer is calculated

We solve x2 = 155. The resulting value is x = 12.449899598.

Verification: 12.4498995982 ≈ 155.

Simplified radical form

The square root of 155 in simplified radical form is √155.

There are no square factors that can be taken outside the radical, so √155 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12144
Upper or equal13169

Nearby square roots

NumberSquare root
√15212.3288280059
√15312.3693168769
√15412.409673646
√15512.449899598
√15612.4899959968
√15712.5299640861
√15812.56980509

Number properties

Is 155 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√155 is irrational because 155 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 155.