Square roots·√203
√203 =
√203
≈ 14.247807

Square root of 203 — 14.247807 (√203)

Irrational

The square root of 203 is about 14.247807, or exactly √203. It lies between 14 and 15.

As a decimal
≈ 14.247807
Simplified surd
√203 = √203
Between
14 < √203 < 15
Squared
203² = 41209
Cube root
∛203 ≈ 5.877131

Nearby numbers

√200 = 10√2√201 = √201√202 = √202√204 = 2√51√205 = √205√206 = √206

From 1 to 200

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230

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 203?

About 14.247807, or exactly √203.

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 203?

About 5.877131.