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What is the Square Root of 1625?

The square root of 1625 is 40.3112887415. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1625 = 40.3112887415
CalculatedNon-perfect squareIrrational
Exact form√1625
Perfect squareNo
Number typeIrrational
Verification40.31128874152 ≈ 1625

On this page

How the answer is calculated

We solve x2 = 1625. The resulting value is x = 40.3112887415.

Verification: 40.31128874152 ≈ 1625.

Simplified radical form

The square root of 1625 in simplified radical form is 5√65.

This is equivalent to √1625, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal401600
Upper or equal411681

Nearby square roots

NumberSquare root
√162240.2740611312
√162340.286474157
√162440.2988833592
√162540.3112887415
√162640.3236903073
√162740.3360880602
√162840.3484820037

Number properties

Is 1625 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1625 is irrational because 1625 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 1625.