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What is the Square Root of 1333?

The square root of 1333 is 36.5102725271. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1333 = 36.5102725271
CalculatedNon-perfect squareIrrational
Exact form√1333
Perfect squareNo
Number typeIrrational
Verification36.51027252712 ≈ 1333

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How the answer is calculated

We solve x2 = 1333. The resulting value is x = 36.5102725271.

Verification: 36.51027252712 ≈ 1333.

Simplified radical form

The square root of 1333 in simplified radical form is √1333.

There are no square factors that can be taken outside the radical, so √1333 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal361296
Upper or equal371369

Nearby square roots

NumberSquare root
√133036.4691650576
√133136.4828726939
√133236.4965751818
√133336.5102725271
√133436.5239647355
√133536.5376518129
√133636.551333765

Number properties

Is 1333 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1333 is irrational because 1333 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 1333.