Square roots·√173
√173 =
√173
≈ 13.152946

Square root of 173 — 13.152946 (√173)

Irrational

The square root of 173 is about 13.152946, or exactly √173. It lies between 13 and 14.

As a decimal
≈ 13.152946
Simplified surd
√173 = √173
Between
13 < √173 < 14
Squared
173² = 29929
Cube root
∛173 ≈ 5.572055

Nearby numbers

√170 = √170√171 = 3√19√172 = 2√43√174 = √174√175 = 5√7√176 = 4√11

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 173?

About 13.152946, or exactly √173.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 13 and 14.

Q. What is the cube root of 173?

About 5.572055.