Square Root of 4

Calculate √4 instantly — exact value, step-by-step explanation, and properties.

√4 =
2
✓ Perfect Square

How to Calculate √4

The square root of 4 is exactly 2. This is because 2 × 2 = 4. Since 4 is a perfect square, its square root is a whole number. You can verify: 2² = 2 × 2 = 4.

√4 = 2 (because 2 × 2 = 4)

Properties of √4

Perfect Square?

Yes

4 = 2², so its square root is a whole number.

Decimal Value

2

Exact integer result.

Square Root Symbol

√4

Also written as 4^(1/2) or 4^0.5 in programming.

Related Square Root Values

Reference table of square roots near 4 for quick comparison.

Number Square Root Perfect Square? Simplified
√3 1.732050 No
√5 2.236067 No
√2 1.414213 No
√6 2.449489 No
√1 1 Yes 1
√7 2.645751 No
√8 2.828427 No 2√2
√9 3 Yes 3
√10 3.162277 No
√12 3.464101 No 2√3

Frequently Asked Questions

What is the square root of 4?

The square root of 4 is exactly 2. Since 4 is a perfect square, √4 = 2.

Is 4 a perfect square?

Yes, 4 is a perfect square. It equals 2², meaning 2 × 2 = 4.

How do you calculate √4 by hand?

Since 4 is a perfect square, you can find √4 by identifying which integer multiplied by itself equals 4. The answer is 2, because 2 × 2 = 4.

What is √4 in simplified radical form?

√4 = 2. Since it's a perfect square, no radical form is needed.

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