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What is the Square Root of 4?

The square root of 4 is 2. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√4 = 2
ExactPerfect squareRational
Exact form2
Perfect squareYes
Number typeRational
Verification22 ≈ 4

On this page

How the answer is calculated

We solve x2 = 4. The resulting value is x = 2.

Verification: 22 ≈ 4.

Simplified radical form

The square root of 4 in simplified radical form is 2.

There are no square factors that can be taken outside the radical, so 2 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal24
Upper or equal24

Nearby square roots

NumberSquare root
√11
√21.4142135624
√31.7320508076
√42
√52.2360679775
√62.4494897428
√72.6457513111

Number properties

Is 4 a perfect square?

Yes. Its square root is the whole number 2.

Is the square root rational or irrational?

2 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 4.