Square roots·√97
√97 =
√97
≈ 9.848858

Square root of 97 — 9.848858 (√97)

Irrational

The square root of 97 is about 9.848858, or exactly √97. It lies between 9 and 10.

As a decimal
≈ 9.848858
Simplified surd
√97 = √97
Between
9 < √97 < 10
Squared
97² = 9409
Cube root
∛97 ≈ 4.594701

Nearby numbers

√94 = √94√95 = √95√96 = 4√6√98 = 7√2√99 = 3√11√100 = 10

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 97?

About 9.848858, or exactly √97.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 9 and 10.

Q. What is the cube root of 97?

About 4.594701.