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What is the Square Root of 4492?

The square root of 4492 is 67.0223843205. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4492 = 67.0223843205
CalculatedNon-perfect squareIrrational
Exact form√4492
Perfect squareNo
Number typeIrrational
Verification67.02238432052 ≈ 4492

On this page

How the answer is calculated

We solve x2 = 4492. The resulting value is x = 67.0223843205.

Verification: 67.02238432052 ≈ 4492.

Simplified radical form

The square root of 4492 in simplified radical form is 2√1123.

This is equivalent to √4492, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal674489
Upper or equal684624

Nearby square roots

NumberSquare root
√448967
√449067.007462271
√449167.0149237111
√449267.0223843205
√449367.0298440995
√449467.0373030484
√449567.0447611674

Number properties

Is 4492 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√4492 is irrational because 4492 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 4492.