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What is the Square Root of 5964?

The square root of 5964 is 77.2269383052. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5964 = 77.2269383052
CalculatedNon-perfect squareIrrational
Exact form√5964
Perfect squareNo
Number typeIrrational
Verification77.22693830522 ≈ 5964

On this page

How the answer is calculated

We solve x2 = 5964. The resulting value is x = 77.2269383052.

Verification: 77.22693830522 ≈ 5964.

Simplified radical form

The square root of 5964 in simplified radical form is 2√1491.

This is equivalent to √5964, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√596177.2075125878
√596277.21398837
√596377.2204636091
√596477.2269383052
√596577.2334124586
√596677.2398860693
√596777.2463591375

Number properties

Is 5964 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5964 is irrational because 5964 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 5964.