Infolity
  1. Home
  2. Calculators
  3. Square Root

What is the Square Root of 26901?

The square root of 26901 is 164.015243194. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26901 = 164.015243194
CalculatedNon-perfect squareIrrational
Exact form√26901
Perfect squareNo
Number typeIrrational
Verification164.0152431942 ≈ 26901

On this page

How the answer is calculated

We solve x2 = 26901. The resulting value is x = 164.015243194.

Verification: 164.0152431942 ≈ 26901.

Simplified radical form

The square root of 26901 in simplified radical form is 21√61.

This is equivalent to √26901, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√26898164.0060974476
√26899164.0091460864
√26900164.0121946686
√26901164.015243194
√26902164.0182916629
√26903164.021340075
√26904164.0243884305

Number properties

Is 26901 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26901 is irrational because 26901 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 26901.