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What is the Square Root of 650?

The square root of 650 is 25.495097568. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√650 = 25.495097568
CalculatedNon-perfect squareIrrational
Exact form√650
Perfect squareNo
Number typeIrrational
Verification25.4950975682 ≈ 650

On this page

How the answer is calculated

We solve x2 = 650. The resulting value is x = 25.495097568.

Verification: 25.4950975682 ≈ 650.

Simplified radical form

The square root of 650 in simplified radical form is 5√26.

This is equivalent to √650, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√64725.436194684
√64825.4558441227
√64925.4754784057
√65025.495097568
√65125.5147016443
√65225.5342906696
√65325.5538646784

Number properties

Is 650 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√650 is irrational because 650 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 650.