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What is the Square Root of 725?

The square root of 725 is 26.9258240357. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√725 = 26.9258240357
CalculatedNon-perfect squareIrrational
Exact form√725
Perfect squareNo
Number typeIrrational
Verification26.92582403572 ≈ 725

On this page

How the answer is calculated

We solve x2 = 725. The resulting value is x = 26.9258240357.

Verification: 26.92582403572 ≈ 725.

Simplified radical form

The square root of 725 in simplified radical form is 5√29.

This is equivalent to √725, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal26676
Upper or equal27729

Nearby square roots

NumberSquare root
√72226.8700576851
√72326.8886593195
√72426.9072480941
√72526.9258240357
√72626.9443871706
√72726.9629375254
√72826.9814751265

Number properties

Is 725 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√725 is irrational because 725 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 725.