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What is the Square Root of 29204?

The square root of 29204 is 170.8917786203. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√29204 = 170.8917786203
CalculatedNon-perfect squareIrrational
Exact form√29204
Perfect squareNo
Number typeIrrational
Verification170.89177862032 ≈ 29204

On this page

How the answer is calculated

We solve x2 = 29204. The resulting value is x = 170.8917786203.

Verification: 170.89177862032 ≈ 29204.

Simplified radical form

The square root of 29204 in simplified radical form is 14√149.

This is equivalent to √29204, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal17028900
Upper or equal17129241

Nearby square roots

NumberSquare root
√29201170.88300091
√29202170.8859268635
√29203170.8888527669
√29204170.8917786203
√29205170.8947044235
√29206170.8976301767
√29207170.9005558797

Number properties

Is 29204 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√29204 is irrational because 29204 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 29204.