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What is the Square Root of 65?

The square root of 65 is 8.0622577483. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√65 = 8.0622577483
CalculatedNon-perfect squareIrrational
Exact form√65
Perfect squareNo
Number typeIrrational
Verification8.06225774832 ≈ 65

On this page

How the answer is calculated

We solve x2 = 65. The resulting value is x = 8.0622577483.

Verification: 8.06225774832 ≈ 65.

Simplified radical form

The square root of 65 in simplified radical form is √65.

There are no square factors that can be taken outside the radical, so √65 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal864
Upper or equal981

Nearby square roots

NumberSquare root
√627.874007874
√637.9372539332
√648
√658.0622577483
√668.1240384046
√678.1853527719
√688.2462112512

Number properties

Is 65 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√65 is irrational because 65 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 65.