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What is the Square Root of 5996?

The square root of 5996 is 77.4338427304. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5996 = 77.4338427304
CalculatedNon-perfect squareIrrational
Exact form√5996
Perfect squareNo
Number typeIrrational
Verification77.43384273042 ≈ 5996

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How the answer is calculated

We solve x2 = 5996. The resulting value is x = 77.4338427304.

Verification: 77.43384273042 ≈ 5996.

Simplified radical form

The square root of 5996 in simplified radical form is 2√1499.

This is equivalent to √5996, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√599377.4144689318
√599477.4209274034
√599577.4273853362
√599677.4338427304
√599777.4402995862
√599877.4467559037
√599977.4532116829

Number properties

Is 5996 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5996 is irrational because 5996 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 5996.