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What is the Square Root of 5952?

The square root of 5952 is 77.1492060879. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5952 = 77.1492060879
CalculatedNon-perfect squareIrrational
Exact form√5952
Perfect squareNo
Number typeIrrational
Verification77.14920608792 ≈ 5952

On this page

How the answer is calculated

We solve x2 = 5952. The resulting value is x = 77.1492060879.

Verification: 77.14920608792 ≈ 5952.

Simplified radical form

The square root of 5952 in simplified radical form is 8√93.

This is equivalent to √5952, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal775929
Upper or equal786084

Nearby square roots

NumberSquare root
√594977.1297607931
√595077.1362431027
√595177.1427248676
√595277.1492060879
√595377.1556867638
√595477.1621668954
√595577.1686464829

Number properties

Is 5952 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5952 is irrational because 5952 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 5952.