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What is the Square Root of 628?

The square root of 628 is 25.0599281723. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√628 = 25.0599281723
CalculatedNon-perfect squareIrrational
Exact form√628
Perfect squareNo
Number typeIrrational
Verification25.05992817232 ≈ 628

On this page

How the answer is calculated

We solve x2 = 628. The resulting value is x = 25.0599281723.

Verification: 25.05992817232 ≈ 628.

Simplified radical form

The square root of 628 in simplified radical form is 2√157.

This is equivalent to √628, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√62525
√62625.0199920064
√62725.0399680511
√62825.0599281723
√62925.079872408
√63025.099800796
√63125.1197133742

Number properties

Is 628 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√628 is irrational because 628 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 628.