What is the Square Root of 5265?

The square root of 5265 is 72.5603197347. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5265 = 72.5603197347
CalculatedNon-perfect squareIrrational
Exact form√5265
Perfect squareNo
Number typeIrrational
Verification72.56031973472 ≈ 5265

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How the answer is calculated

We solve x2 = 5265. The resulting value is x = 72.5603197347.

Verification: 72.56031973472 ≈ 5265.

Simplified radical form

The square root of 5265 in simplified radical form is 9√65.

This is equivalent to √5265, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal725184
Upper or equal735329

Nearby square roots

NumberSquare root
√526272.5396443333
√526372.5465367885
√526472.5534285889
√526572.5603197347
√526672.5672102261
√526772.5741000633
√526872.5809892465

Number properties

Is 5265 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5265 is irrational because 5265 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 5265.