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What is the Square Root of 751?

The square root of 751 is 27.4043792121. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√751 = 27.4043792121
CalculatedNon-perfect squareIrrational
Exact form√751
Perfect squareNo
Number typeIrrational
Verification27.40437921212 ≈ 751

On this page

How the answer is calculated

We solve x2 = 751. The resulting value is x = 27.4043792121.

Verification: 27.40437921212 ≈ 751.

Simplified radical form

The square root of 751 in simplified radical form is √751.

There are no square factors that can be taken outside the radical, so √751 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√74827.3495886624
√74927.3678643668
√75027.3861278753
√75127.4043792121
√75227.4226184016
√75327.440845468
√75427.4590604355

Number properties

Is 751 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√751 is irrational because 751 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 751.