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What is the Square Root of 26982?

The square root of 26982 is 164.261985864. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√26982 = 164.261985864
CalculatedNon-perfect squareIrrational
Exact form√26982
Perfect squareNo
Number typeIrrational
Verification164.2619858642 ≈ 26982

On this page

How the answer is calculated

We solve x2 = 26982. The resulting value is x = 164.261985864.

Verification: 164.2619858642 ≈ 26982.

Simplified radical form

The square root of 26982 in simplified radical form is 3√2998.

This is equivalent to √26982, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal16426896
Upper or equal16527225

Nearby square roots

NumberSquare root
√26979164.2528538565
√26980164.2558979154
√26981164.2589419179
√26982164.261985864
√26983164.2650297537
√26984164.268073587
√26985164.2711173639

Number properties

Is 26982 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√26982 is irrational because 26982 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 26982.