What is the Square Root of 5492?

The square root of 5492 is 74.1080292546. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5492 = 74.1080292546
CalculatedNon-perfect squareIrrational
Exact form√5492
Perfect squareNo
Number typeIrrational
Verification74.10802925462 ≈ 5492

On this page

How the answer is calculated

We solve x2 = 5492. The resulting value is x = 74.1080292546.

Verification: 74.10802925462 ≈ 5492.

Simplified radical form

The square root of 5492 in simplified radical form is 2√1373.

This is equivalent to √5492, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal745476
Upper or equal755625

Nearby square roots

NumberSquare root
√548974.087785768
√549074.0945342114
√549174.1012820402
√549274.1080292546
√549374.1147758548
√549474.1215218408
√549574.128267213

Number properties

Is 5492 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5492 is irrational because 5492 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 5492.