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What is the Square Root of 27825?

The square root of 27825 is 166.8082731761. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27825 = 166.8082731761
CalculatedNon-perfect squareIrrational
Exact form√27825
Perfect squareNo
Number typeIrrational
Verification166.80827317612 ≈ 27825

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How the answer is calculated

We solve x2 = 27825. The resulting value is x = 166.8082731761.

Verification: 166.80827317612 ≈ 27825.

Simplified radical form

The square root of 27825 in simplified radical form is 5√1113.

This is equivalent to √27825, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16627556
Upper or equal16727889

Nearby square roots

NumberSquare root
√27822166.799280574
√27823166.8022781619
√27824166.8052756959
√27825166.8082731761
√27826166.8112706024
√27827166.8142679749
√27828166.8172652935

Number properties

Is 27825 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27825 is irrational because 27825 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 27825.