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What is the Square Root of 737?

The square root of 737 is 27.147743921. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√737 = 27.147743921
CalculatedNon-perfect squareIrrational
Exact form√737
Perfect squareNo
Number typeIrrational
Verification27.1477439212 ≈ 737

On this page

How the answer is calculated

We solve x2 = 737. The resulting value is x = 27.147743921.

Verification: 27.1477439212 ≈ 737.

Simplified radical form

The square root of 737 in simplified radical form is √737.

There are no square factors that can be taken outside the radical, so √737 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√73427.0924343683
√73527.1108834235
√73627.1293199325
√73727.147743921
√73827.1661554144
√73927.1845544381
√74027.2029410175

Number properties

Is 737 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√737 is irrational because 737 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 737.