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What is the Square Root of 752?

The square root of 752 is 27.4226184016. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√752 = 27.4226184016
CalculatedNon-perfect squareIrrational
Exact form√752
Perfect squareNo
Number typeIrrational
Verification27.42261840162 ≈ 752

On this page

How the answer is calculated

We solve x2 = 752. The resulting value is x = 27.4226184016.

Verification: 27.42261840162 ≈ 752.

Simplified radical form

The square root of 752 in simplified radical form is 4√47.

This is equivalent to √752, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√74927.3678643668
√75027.3861278753
√75127.4043792121
√75227.4226184016
√75327.440845468
√75427.4590604355
√75527.4772633281

Number properties

Is 752 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√752 is irrational because 752 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 752.