What is the Square Root of 55?

The square root of 55 is 7.4161984871. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√55 = 7.4161984871
CalculatedNon-perfect squareIrrational
Exact form√55
Perfect squareNo
Number typeIrrational
Verification7.41619848712 ≈ 55

On this page

How the answer is calculated

We solve x2 = 55. The resulting value is x = 7.4161984871.

Verification: 7.41619848712 ≈ 55.

Simplified radical form

The square root of 55 in simplified radical form is √55.

There are no square factors that can be taken outside the radical, so √55 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal749
Upper or equal864

Nearby square roots

NumberSquare root
√527.2111025509
√537.2801098893
√547.3484692283
√557.4161984871
√567.4833147735
√577.5498344353
√587.6157731059

Number properties

Is 55 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√55 is irrational because 55 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 55.