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What is the Square Root of 27250?

The square root of 27250 is 165.0757401922. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√27250 = 165.0757401922
CalculatedNon-perfect squareIrrational
Exact form√27250
Perfect squareNo
Number typeIrrational
Verification165.07574019222 ≈ 27250

On this page

How the answer is calculated

We solve x2 = 27250. The resulting value is x = 165.0757401922.

Verification: 165.07574019222 ≈ 27250.

Simplified radical form

The square root of 27250 in simplified radical form is 5√1090.

This is equivalent to √27250, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16527225
Upper or equal16627556

Nearby square roots

NumberSquare root
√27247165.0666532041
√27248165.0696822557
√27249165.0727112517
√27250165.0757401922
√27251165.0787690771
√27252165.0817979064
√27253165.0848266801

Number properties

Is 27250 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√27250 is irrational because 27250 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 27250.