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What is the Square Root of 27829?

The square root of 27829 is 166.8202625582. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27829 = 166.8202625582
CalculatedNon-perfect squareIrrational
Exact form√27829
Perfect squareNo
Number typeIrrational
Verification166.82026255822 ≈ 27829

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How the answer is calculated

We solve x2 = 27829. The resulting value is x = 166.8202625582.

Verification: 166.82026255822 ≈ 27829.

Simplified radical form

The square root of 27829 in simplified radical form is √27829.

There are no square factors that can be taken outside the radical, so √27829 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16627556
Upper or equal16727889

Nearby square roots

NumberSquare root
√27826166.8112706024
√27827166.8142679749
√27828166.8172652935
√27829166.8202625582
√27830166.8232597691
√27831166.8262569262
√27832166.8292540294

Number properties

Is 27829 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27829 is irrational because 27829 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 27829.