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What is the Square Root of 263?

The square root of 263 is 16.2172747402. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√263 = 16.2172747402
CalculatedNon-perfect squareIrrational
Exact form√263
Perfect squareNo
Number typeIrrational
Verification16.21727474022 ≈ 263

On this page

How the answer is calculated

We solve x2 = 263. The resulting value is x = 16.2172747402.

Verification: 16.21727474022 ≈ 263.

Simplified radical form

The square root of 263 in simplified radical form is √263.

There are no square factors that can be taken outside the radical, so √263 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal16256
Upper or equal17289

Nearby square roots

NumberSquare root
√26016.1245154966
√26116.1554944214
√26216.1864140562
√26316.2172747402
√26416.2480768093
√26516.2788205961
√26616.3095064303

Number properties

Is 263 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√263 is irrational because 263 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 263.