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What is the Square Root of 5965?

The square root of 5965 is 77.2334124586. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5965 = 77.2334124586
CalculatedNon-perfect squareIrrational
Exact form√5965
Perfect squareNo
Number typeIrrational
Verification77.23341245862 ≈ 5965

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How the answer is calculated

We solve x2 = 5965. The resulting value is x = 77.2334124586.

Verification: 77.23341245862 ≈ 5965.

Simplified radical form

The square root of 5965 in simplified radical form is √5965.

There are no square factors that can be taken outside the radical, so √5965 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√596277.21398837
√596377.2204636091
√596477.2269383052
√596577.2334124586
√596677.2398860693
√596777.2463591375
√596877.2528316633

Number properties

Is 5965 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5965 is irrational because 5965 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 5965.