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What is the Square Root of 29164?

The square root of 29164 is 170.774705387. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29164 = 170.774705387
CalculatedNon-perfect squareIrrational
Exact form√29164
Perfect squareNo
Number typeIrrational
Verification170.7747053872 ≈ 29164

On this page

How the answer is calculated

We solve x2 = 29164. The resulting value is x = 170.774705387.

Verification: 170.7747053872 ≈ 29164.

Simplified radical form

The square root of 29164 in simplified radical form is 2√7291.

This is equivalent to √29164, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17028900
Upper or equal17129241

Nearby square roots

NumberSquare root
√29161170.7659216589
√29162170.7688496184
√29163170.7717775278
√29164170.774705387
√29165170.7776331959
√29166170.7805609547
√29167170.7834886633

Number properties

Is 29164 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29164 is irrational because 29164 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 29164.