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What is the Square Root of 748?

The square root of 748 is 27.3495886624. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√748 = 27.3495886624
CalculatedNon-perfect squareIrrational
Exact form√748
Perfect squareNo
Number typeIrrational
Verification27.34958866242 ≈ 748

On this page

How the answer is calculated

We solve x2 = 748. The resulting value is x = 27.3495886624.

Verification: 27.34958866242 ≈ 748.

Simplified radical form

The square root of 748 in simplified radical form is 2√187.

This is equivalent to √748, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal27729
Upper or equal28784

Nearby square roots

NumberSquare root
√74527.2946881279
√74627.3130005675
√74727.3313007374
√74827.3495886624
√74927.3678643668
√75027.3861278753
√75127.4043792121

Number properties

Is 748 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√748 is irrational because 748 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 748.