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What is the Square Root of 7488?

The square root of 7488 is 86.5332306111. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√7488 = 86.5332306111
CalculatedNon-perfect squareIrrational
Exact form√7488
Perfect squareNo
Number typeIrrational
Verification86.53323061112 ≈ 7488

On this page

How the answer is calculated

We solve x2 = 7488. The resulting value is x = 86.5332306111.

Verification: 86.53323061112 ≈ 7488.

Simplified radical form

The square root of 7488 in simplified radical form is 24√13.

This is equivalent to √7488, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal867396
Upper or equal877569

Nearby square roots

NumberSquare root
√748586.5158944934
√748686.5216735853
√748786.5274522912
√748886.5332306111
√748986.5390085453
√749086.5447860937
√749186.5505632564

Number properties

Is 7488 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√7488 is irrational because 7488 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 7488.