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What is the Square Root of 29701?

The square root of 29701 is 172.339780666. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29701 = 172.339780666
CalculatedNon-perfect squareIrrational
Exact form√29701
Perfect squareNo
Number typeIrrational
Verification172.3397806662 ≈ 29701

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How the answer is calculated

We solve x2 = 29701. The resulting value is x = 172.339780666.

Verification: 172.3397806662 ≈ 29701.

Simplified radical form

The square root of 29701 in simplified radical form is √29701.

There are no square factors that can be taken outside the radical, so √29701 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17229584
Upper or equal17329929

Nearby square roots

NumberSquare root
√29698172.3310767099
√29699172.3339780775
√29700172.3368793961
√29701172.339780666
√29702172.342681887
√29703172.3455830592
√29704172.3484841825

Number properties

Is 29701 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29701 is irrational because 29701 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 29701.