Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 20000?

The square root of 20000 is 141.4213562373. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20000 = 141.4213562373
CalculatedNon-perfect squareIrrational
Exact form√20000
Perfect squareNo
Number typeIrrational
Verification141.42135623732 ≈ 20000

On this page

How the answer is calculated

We solve x2 = 20000. The resulting value is x = 141.4213562373.

Verification: 141.42135623732 ≈ 20000.

Simplified radical form

The square root of 20000 in simplified radical form is 100√2.

This is equivalent to √20000, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal14119881
Upper or equal14220164

Nearby square roots

NumberSquare root
√19997141.4107492378
√19998141.4142849927
√19999141.4178206592
√20000141.4213562373
√20001141.424891727
√20002141.4284271284
√20003141.4319624413

Number properties

Is 20000 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20000 is irrational because 20000 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 20000.