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What is the Square Root of 27827?

The square root of 27827 is 166.8142679749. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27827 = 166.8142679749
CalculatedNon-perfect squareIrrational
Exact form√27827
Perfect squareNo
Number typeIrrational
Verification166.81426797492 ≈ 27827

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How the answer is calculated

We solve x2 = 27827. The resulting value is x = 166.8142679749.

Verification: 166.81426797492 ≈ 27827.

Simplified radical form

The square root of 27827 in simplified radical form is √27827.

There are no square factors that can be taken outside the radical, so √27827 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16627556
Upper or equal16727889

Nearby square roots

NumberSquare root
√27824166.8052756959
√27825166.8082731761
√27826166.8112706024
√27827166.8142679749
√27828166.8172652935
√27829166.8202625582
√27830166.8232597691

Number properties

Is 27827 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27827 is irrational because 27827 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 27827.