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What is the Square Root of 16?

The square root of 16 is 4. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16 = 4
ExactPerfect squareRational
Exact form4
Perfect squareYes
Number typeRational
Verification42 ≈ 16

On this page

How the answer is calculated

We solve x2 = 16. The resulting value is x = 4.

Verification: 42 ≈ 16.

Simplified radical form

The square root of 16 in simplified radical form is 4.

There are no square factors that can be taken outside the radical, so 4 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal416
Upper or equal416

Nearby square roots

NumberSquare root
√133.6055512755
√143.7416573868
√153.8729833462
√164
√174.1231056256
√184.2426406871
√194.3588989435

Number properties

Is 16 a perfect square?

Yes. Its square root is the whole number 4.

Is the square root rational or irrational?

4 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 16.