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What is the Square Root of 22013?

The square root of 22013 is 148.367786261. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√22013 = 148.367786261
CalculatedNon-perfect squareIrrational
Exact form√22013
Perfect squareNo
Number typeIrrational
Verification148.3677862612 ≈ 22013

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How the answer is calculated

We solve x2 = 22013. The resulting value is x = 148.367786261.

Verification: 148.3677862612 ≈ 22013.

Simplified radical form

The square root of 22013 in simplified radical form is √22013.

There are no square factors that can be taken outside the radical, so √22013 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14821904
Upper or equal14922201

Nearby square roots

NumberSquare root
√22010148.3576759052
√22011148.3610461004
√22012148.364416219
√22013148.367786261
√22014148.3711562265
√22015148.3745261155
√22016148.3778959279

Number properties

Is 22013 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√22013 is irrational because 22013 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 22013.