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What is the Square Root of 26801?

The square root of 26801 is 163.7101096451. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26801 = 163.7101096451
CalculatedNon-perfect squareIrrational
Exact form√26801
Perfect squareNo
Number typeIrrational
Verification163.71010964512 ≈ 26801

On this page

How the answer is calculated

We solve x2 = 26801. The resulting value is x = 163.7101096451.

Verification: 163.71010964512 ≈ 26801.

Simplified radical form

The square root of 26801 in simplified radical form is √26801.

There are no square factors that can be taken outside the radical, so √26801 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16326569
Upper or equal16426896

Nearby square roots

NumberSquare root
√26798163.7009468513
√26799163.7040011728
√26800163.7070554374
√26801163.7101096451
√26802163.7131637957
√26803163.7162178894
√26804163.7192719261

Number properties

Is 26801 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26801 is irrational because 26801 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 26801.