Square Root of 16

Calculate √16 instantly — exact value, step-by-step explanation, and properties.

√16 =
4
✓ Perfect Square

How to Calculate √16

The square root of 16 is exactly 4. This is because 4 × 4 = 16. Since 16 is a perfect square, its square root is a whole number. You can verify: 4² = 4 × 4 = 16.

√16 = 4 (because 4 × 4 = 16)

Properties of √16

Perfect Square?

Yes

16 = 4², so its square root is a whole number.

Decimal Value

4

Exact integer result.

Square Root Symbol

√16

Also written as 16^(1/2) or 16^0.5 in programming.

Related Square Root Values

Reference table of square roots near 16 for quick comparison.

Number Square Root Perfect Square? Simplified
√15 3.872983 No
√18 4.242640 No 3√2
√12 3.464101 No 2√3
√20 4.472135 No 2√5
√10 3.162277 No
√9 3 Yes 3
√8 2.828427 No 2√2
√24 4.898979 No 2√6
√25 5 Yes 5
√7 2.645751 No

Frequently Asked Questions

What is the square root of 16?

The square root of 16 is exactly 4. Since 16 is a perfect square, √16 = 4.

Is 16 a perfect square?

Yes, 16 is a perfect square. It equals 4², meaning 4 × 4 = 16.

How do you calculate √16 by hand?

Since 16 is a perfect square, you can find √16 by identifying which integer multiplied by itself equals 16. The answer is 4, because 4 × 4 = 16.

What is √16 in simplified radical form?

√16 = 4. Since it's a perfect square, no radical form is needed.

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