Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 17627?

The square root of 17627 is 132.7667126956. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√17627 = 132.7667126956
CalculatedNon-perfect squareIrrational
Exact form√17627
Perfect squareNo
Number typeIrrational
Verification132.76671269562 ≈ 17627

On this page

How the answer is calculated

We solve x2 = 17627. The resulting value is x = 132.7667126956.

Verification: 132.76671269562 ≈ 17627.

Simplified radical form

The square root of 17627 in simplified radical form is √17627.

There are no square factors that can be taken outside the radical, so √17627 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13217424
Upper or equal13317689

Nearby square roots

NumberSquare root
√17624132.7554142022
√17625132.7591804735
√17626132.762946638
√17627132.7667126956
√17628132.7704786464
√17629132.7742444904
√17630132.7780102276

Number properties

Is 17627 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√17627 is irrational because 17627 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 17627.