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What is the Square Root of 5748?

The square root of 5748 is 75.8155656841. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5748 = 75.8155656841
CalculatedNon-perfect squareIrrational
Exact form√5748
Perfect squareNo
Number typeIrrational
Verification75.81556568412 ≈ 5748

On this page

How the answer is calculated

We solve x2 = 5748. The resulting value is x = 75.8155656841.

Verification: 75.81556568412 ≈ 5748.

Simplified radical form

The square root of 5748 in simplified radical form is 2√1437.

This is equivalent to √5748, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal755625
Upper or equal765776

Nearby square roots

NumberSquare root
√574575.7957782465
√574675.802374633
√574775.8089704455
√574875.8155656841
√574975.8221603491
√575075.8287544405
√575175.8353479586

Number properties

Is 5748 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5748 is irrational because 5748 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 5748.