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What is the Square Root of 4025?

The square root of 4025 is 63.4428877022. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4025 = 63.4428877022
CalculatedNon-perfect squareIrrational
Exact form√4025
Perfect squareNo
Number typeIrrational
Verification63.44288770222 ≈ 4025

On this page

How the answer is calculated

We solve x2 = 4025. The resulting value is x = 63.4428877022.

Verification: 63.44288770222 ≈ 4025.

Simplified radical form

The square root of 4025 in simplified radical form is 5√161.

This is equivalent to √4025, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal633969
Upper or equal644096

Nearby square roots

NumberSquare root
√402263.4192399828
√402363.4271235356
√402463.4350061086
√402563.4428877022
√402663.4507683169
√402763.4586479528
√402863.4665266105

Number properties

Is 4025 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4025 is irrational because 4025 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 4025.