Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 16762?

The square root of 16762 is 129.4681427997. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16762 = 129.4681427997
CalculatedNon-perfect squareIrrational
Exact form√16762
Perfect squareNo
Number typeIrrational
Verification129.46814279972 ≈ 16762

On this page

How the answer is calculated

We solve x2 = 16762. The resulting value is x = 129.4681427997.

Verification: 129.46814279972 ≈ 16762.

Simplified radical form

The square root of 16762 in simplified radical form is 17√58.

This is equivalent to √16762, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16759129.4565564195
√16760129.4604186615
√16761129.4642807882
√16762129.4681427997
√16763129.472004696
√16764129.4758664771
√16765129.4797281431

Number properties

Is 16762 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16762 is irrational because 16762 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 16762.