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What is the Square Root of 753?

The square root of 753 is 27.440845468. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√753 = 27.440845468
CalculatedNon-perfect squareIrrational
Exact form√753
Perfect squareNo
Number typeIrrational
Verification27.4408454682 ≈ 753

On this page

How the answer is calculated

We solve x2 = 753. The resulting value is x = 27.440845468.

Verification: 27.4408454682 ≈ 753.

Simplified radical form

The square root of 753 in simplified radical form is √753.

There are no square factors that can be taken outside the radical, so √753 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√75027.3861278753
√75127.4043792121
√75227.4226184016
√75327.440845468
√75427.4590604355
√75527.4772633281
√75627.4954541697

Number properties

Is 753 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√753 is irrational because 753 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 753.