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What is the Square Root of 5888?

The square root of 5888 is 76.733304373. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5888 = 76.733304373
CalculatedNon-perfect squareIrrational
Exact form√5888
Perfect squareNo
Number typeIrrational
Verification76.7333043732 ≈ 5888

On this page

How the answer is calculated

We solve x2 = 5888. The resulting value is x = 76.733304373.

Verification: 76.7333043732 ≈ 5888.

Simplified radical form

The square root of 5888 in simplified radical form is 16√23.

This is equivalent to √5888, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal765776
Upper or equal775929

Nearby square roots

NumberSquare root
√588576.713753656
√588676.7202711153
√588776.7267880209
√588876.733304373
√588976.7398201718
√589076.7463354174
√589176.7528501099

Number properties

Is 5888 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5888 is irrational because 5888 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 5888.