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What is the Square Root of 27521?

The square root of 27521 is 165.8945448169. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27521 = 165.8945448169
CalculatedNon-perfect squareIrrational
Exact form√27521
Perfect squareNo
Number typeIrrational
Verification165.89454481692 ≈ 27521

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How the answer is calculated

We solve x2 = 27521. The resulting value is x = 165.8945448169.

Verification: 165.89454481692 ≈ 27521.

Simplified radical form

The square root of 27521 in simplified radical form is √27521.

There are no square factors that can be taken outside the radical, so √27521 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27518165.8855026818
√27519165.8885167816
√27520165.8915308266
√27521165.8945448169
√27522165.8975587524
√27523165.9005726331
√27524165.9035864591

Number properties

Is 27521 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27521 is irrational because 27521 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 27521.