Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 17827?

The square root of 17827 is 133.517789077. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17827 = 133.517789077
CalculatedNon-perfect squareIrrational
Exact form√17827
Perfect squareNo
Number typeIrrational
Verification133.5177890772 ≈ 17827

On this page

How the answer is calculated

We solve x2 = 17827. The resulting value is x = 133.517789077.

Verification: 133.5177890772 ≈ 17827.

Simplified radical form

The square root of 17827 in simplified radical form is √17827.

There are no square factors that can be taken outside the radical, so √17827 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13317689
Upper or equal13417956

Nearby square roots

NumberSquare root
√17824133.5065541462
√17825133.5102992282
√17826133.5140442051
√17827133.517789077
√17828133.5215338438
√17829133.5252785056
√17830133.5290230624

Number properties

Is 17827 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17827 is irrational because 17827 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 17827.