What is the Square Root of 630?

The square root of 630 is 25.099800796. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√630 = 25.099800796
CalculatedNon-perfect squareIrrational
Exact form√630
Perfect squareNo
Number typeIrrational
Verification25.0998007962 ≈ 630

On this page

How the answer is calculated

We solve x2 = 630. The resulting value is x = 25.099800796.

Verification: 25.0998007962 ≈ 630.

Simplified radical form

The square root of 630 in simplified radical form is 3√70.

This is equivalent to √630, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√62725.0399680511
√62825.0599281723
√62925.079872408
√63025.099800796
√63125.1197133742
√63225.13961018
√63325.1594912508

Number properties

Is 630 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√630 is irrational because 630 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 630.