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What is the Square Root of 29991?

The square root of 29991 is 173.1790980459. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29991 = 173.1790980459
CalculatedNon-perfect squareIrrational
Exact form√29991
Perfect squareNo
Number typeIrrational
Verification173.17909804592 ≈ 29991

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How the answer is calculated

We solve x2 = 29991. The resulting value is x = 173.1790980459.

Verification: 173.17909804592 ≈ 29991.

Simplified radical form

The square root of 29991 in simplified radical form is √29991.

There are no square factors that can be taken outside the radical, so √29991 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17329929
Upper or equal17430276

Nearby square roots

NumberSquare root
√29988173.1704362759
√29989173.1733235807
√29990173.1762108374
√29991173.1790980459
√29992173.1819852063
√29993173.1848723186
√29994173.1877593827

Number properties

Is 29991 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29991 is irrational because 29991 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 29991.