What is the Square Root of 11888?

The square root of 11888 is 109.0321053635. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√11888 = 109.0321053635
CalculatedNon-perfect squareIrrational
Exact form√11888
Perfect squareNo
Number typeIrrational
Verification109.03210536352 ≈ 11888

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How the answer is calculated

We solve x2 = 11888. The resulting value is x = 109.0321053635.

Verification: 109.03210536352 ≈ 11888.

Simplified radical form

The square root of 11888 in simplified radical form is 4√743.

This is equivalent to √11888, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10911881
Upper or equal11012100

Nearby square roots

NumberSquare root
√11885109.0183470797
√11886109.0229333673
√11887109.0275194618
√11888109.0321053635
√11889109.0366910723
√11890109.0412765883
√11891109.0458619114

Number properties

Is 11888 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√11888 is irrational because 11888 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 11888.