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What is the Square Root of 27225?

The square root of 27225 is 165. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27225 = 165
ExactPerfect squareRational
Exact form165
Perfect squareYes
Number typeRational
Verification1652 ≈ 27225

On this page

How the answer is calculated

We solve x2 = 27225. The resulting value is x = 165.

Verification: 1652 ≈ 27225.

Simplified radical form

The square root of 27225 in simplified radical form is 165.

There are no square factors that can be taken outside the radical, so 165 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16527225

Nearby square roots

NumberSquare root
√27222164.9909088405
√27223164.9939392826
√27224164.9969696691
√27225165
√27226165.0030302752
√27227165.0060604948
√27228165.0090906587

Number properties

Is 27225 a perfect square?

Yes. Its square root is the whole number 165.

Is the square root rational or irrational?

165 is rational because it is a whole number.

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 27225.