√196 =
14
Exact
Square root of 196 — 14
Exact
The square root of 196 is 14, because 14 × 14 = 196.
- As a decimal
- 14
- Simplified surd
- √196 = 14
- Between
- 14
- Squared
- 196² = 38416
- Cube root
- ∛196 ≈ 5.808786
How the surd is simplified
Pull out the largest square factor. Since 50 = 25 × 2, the root of 25 comes out as 5 and the 2 stays behind: 5√2.
√196 = √(196 × 1) = 14
Nearby numbers
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 196?
14 exactly.
Q. Can the surd be simplified?
Yes: 196 = 196 × 1, so 14 comes out and it becomes 14.
Q. Between which integers does it fall?
It is the whole number 14.
Q. What is the cube root of 196?
About 5.808786.