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What is the Square Root of 5984?

The square root of 5984 is 77.3563184233. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5984 = 77.3563184233
CalculatedNon-perfect squareIrrational
Exact form√5984
Perfect squareNo
Number typeIrrational
Verification77.35631842332 ≈ 5984

On this page

How the answer is calculated

We solve x2 = 5984. The resulting value is x = 77.3563184233.

Verification: 77.35631842332 ≈ 5984.

Simplified radical form

The square root of 5984 in simplified radical form is 4√374.

This is equivalent to √5984, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√598177.3369252039
√598277.3433901507
√598377.3498545571
√598477.3563184233
√598577.3627817494
√598677.3692445355
√598777.3757067819

Number properties

Is 5984 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5984 is irrational because 5984 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 5984.