Square roots·√199
√199 =
√199
≈ 14.106736

Square root of 199 — 14.106736 (√199)

Irrational

The square root of 199 is about 14.106736, or exactly √199. It lies between 14 and 15.

As a decimal
≈ 14.106736
Simplified surd
√199 = √199
Between
14 < √199 < 15
Squared
199² = 39601
Cube root
∛199 ≈ 5.838272

Nearby numbers

√196 = 14√197 = √197√198 = 3√22√200 = 10√2

From 1 to 200

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200

How to read this

  • The decimal is rounded; the surd form is the exact value.
  • Pulling out a square factor simplifies the surd — √50 = 5√2.
  • If the number is not a perfect square, the decimal never ends (irrational).
  • Knowing which two integers it sits between is enough to estimate in your head.

Frequently asked questions

Q. What is the square root of 199?

About 14.106736, or exactly √199.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 14 and 15.

Q. What is the cube root of 199?

About 5.838272.