Square roots·√217
√217 =
√217
≈ 14.73092

Square root of 217 — 14.73092 (√217)

Irrational

The square root of 217 is about 14.73092, or exactly √217. It lies between 14 and 15.

As a decimal
≈ 14.73092
Simplified surd
√217 = √217
Between
14 < √217 < 15
Squared
217² = 47089
Cube root
∛217 ≈ 6.009245

Nearby numbers

√214 = √214√215 = √215√216 = 6√6√218 = √218√219 = √219√220 = 2√55

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 217?

About 14.73092, or exactly √217.

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 217?

About 6.009245.