Square Root Calculator › Square root of 16

Square Root of 16

√16 = 4

16 is a perfect square: 4 × 4 = 16. Its square root is the whole number 4.

Number16
Square root (decimal)4
Simplified radical4
Perfect square?Yes
Rational?Yes

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Prime factorization of 16

16 = 2^4. This is what determines the simplified radical: for √16 you pull out one copy of any prime that appears twice.

Every prime appears an even number of times, which is exactly why 16 is a perfect square and √16 = 4 is a whole number.

Nearby square roots

√14 · √15 · √17 · √18

← Square root of 15 | Square root of 17 →

Frequently asked questions

Is 16 a perfect square?

Yes. 16 is a perfect square because 4 × 4 = 16, so √16 = 4.

What is the square root of 16 in simplest radical form?

√16 simplifies to the whole number 4.