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What is the Square Root of 16384?

The square root of 16384 is 128. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16384 = 128
ExactPerfect squareRational
Exact form128
Perfect squareYes
Number typeRational
Verification1282 ≈ 16384

On this page

How the answer is calculated

We solve x2 = 16384. The resulting value is x = 128.

Verification: 1282 ≈ 16384.

Simplified radical form

The square root of 16384 in simplified radical form is 128.

There are no square factors that can be taken outside the radical, so 128 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12816384
Upper or equal12816384

Nearby square roots

NumberSquare root
√16381127.9882807135
√16382127.9921872616
√16383127.9960936904
√16384128
√16385128.0039061904
√16386128.0078122616
√16387128.0117182136

Number properties

Is 16384 a perfect square?

Yes. Its square root is the whole number 128.

Is the square root rational or irrational?

128 is rational because it is a whole number.

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 16384.