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What is the Square Root of 11764?

The square root of 11764 is 108.4619749036. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11764 = 108.4619749036
CalculatedNon-perfect squareIrrational
Exact form√11764
Perfect squareNo
Number typeIrrational
Verification108.46197490362 ≈ 11764

On this page

How the answer is calculated

We solve x2 = 11764. The resulting value is x = 108.4619749036.

Verification: 108.46197490362 ≈ 11764.

Simplified radical form

The square root of 11764 in simplified radical form is 2√2941.

This is equivalent to √11764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10811664
Upper or equal10911881

Nearby square roots

NumberSquare root
√11761108.4481442903
√11762108.4527546907
√11763108.4573648952
√11764108.4619749036
√11765108.4665847162
√11766108.4711943329
√11767108.4758037536

Number properties

Is 11764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11764 is irrational because 11764 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 11764.