What is the Square Root of 1058?

The square root of 1058 is 32.5269119346. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1058 = 32.5269119346
CalculatedNon-perfect squareIrrational
Exact form√1058
Perfect squareNo
Number typeIrrational
Verification32.52691193462 ≈ 1058

On this page

How the answer is calculated

We solve x2 = 1058. The resulting value is x = 32.5269119346.

Verification: 32.52691193462 ≈ 1058.

Simplified radical form

The square root of 1058 in simplified radical form is 23√2.

This is equivalent to √1058, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal321024
Upper or equal331089

Nearby square roots

NumberSquare root
√105532.4807635378
√105632.4961536185
√105732.511536414
√105832.5269119346
√105932.5422801905
√106032.5576411922
√106132.5729949498

Number properties

Is 1058 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1058 is irrational because 1058 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 1058.