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What is the Square Root of 649?

The square root of 649 is 25.4754784057. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√649 = 25.4754784057
CalculatedNon-perfect squareIrrational
Exact form√649
Perfect squareNo
Number typeIrrational
Verification25.47547840572 ≈ 649

On this page

How the answer is calculated

We solve x2 = 649. The resulting value is x = 25.4754784057.

Verification: 25.47547840572 ≈ 649.

Simplified radical form

The square root of 649 in simplified radical form is √649.

There are no square factors that can be taken outside the radical, so √649 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal25625
Upper or equal26676

Nearby square roots

NumberSquare root
√64625.4165300543
√64725.436194684
√64825.4558441227
√64925.4754784057
√65025.495097568
√65125.5147016443
√65225.5342906696

Number properties

Is 649 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√649 is irrational because 649 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 649.