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What is the Square Root of 4945?

The square root of 4945 is 70.320693967. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4945 = 70.320693967
CalculatedNon-perfect squareIrrational
Exact form√4945
Perfect squareNo
Number typeIrrational
Verification70.3206939672 ≈ 4945

On this page

How the answer is calculated

We solve x2 = 4945. The resulting value is x = 70.320693967.

Verification: 70.3206939672 ≈ 4945.

Simplified radical form

The square root of 4945 in simplified radical form is √4945.

There are no square factors that can be taken outside the radical, so √4945 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√494270.2993598833
√494370.3064719638
√494470.313583325
√494570.320693967
√494670.3278038901
√494770.3349130944
√494870.3420215803

Number properties

Is 4945 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4945 is irrational because 4945 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 4945.