What is the Square Root of 949?

The square root of 949 is 30.8058436015. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√949 = 30.8058436015
CalculatedNon-perfect squareIrrational
Exact form√949
Perfect squareNo
Number typeIrrational
Verification30.80584360152 ≈ 949

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How the answer is calculated

We solve x2 = 949. The resulting value is x = 30.8058436015.

Verification: 30.80584360152 ≈ 949.

Simplified radical form

The square root of 949 in simplified radical form is √949.

There are no square factors that can be taken outside the radical, so √949 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal30900
Upper or equal31961

Nearby square roots

NumberSquare root
√94630.7571129985
√94730.7733651069
√94830.7896086367
√94930.8058436015
√95030.8220700148
√95130.8382878902
√95230.8544972411

Number properties

Is 949 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√949 is irrational because 949 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 949.