Square roots·√31
√31 =
√31
≈ 5.567764

Square root of 31 — 5.567764 (√31)

Irrational

The square root of 31 is about 5.567764, or exactly √31. It lies between 5 and 6.

As a decimal
≈ 5.567764
Simplified surd
√31 = √31
Between
5 < √31 < 6
Squared
31² = 961
Cube root
∛31 ≈ 3.141381

Nearby numbers

√28 = 2√7√29 = √29√30 = √30√32 = 4√2√33 = √33√34 = √34

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 31?

About 5.567764, or exactly √31.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 5 and 6.

Q. What is the cube root of 31?

About 3.141381.