Square roots·√88
√88 =
2√22
≈ 9.380832

Square root of 88 — 9.380832 (2√22)

Irrational

The square root of 88 is about 9.380832, or exactly 2√22. It lies between 9 and 10.

As a decimal
≈ 9.380832
Simplified surd
√88 = 2√22
Between
9 < √88 < 10
Squared
88² = 7744
Cube root
∛88 ≈ 4.44796

How the surd is simplified

Pull out the largest square factor. Since 50 = 25 × 2, the root of 25 comes out as 5 and the 2 stays behind: 5√2.

√88 = √(4 × 22) = 2√22

Nearby numbers

√85 = √85√86 = √86√87 = √87√89 = √89√90 = 3√10√91 = √91

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 88?

About 9.380832, or exactly 2√22.

Q. Can the surd be simplified?

Yes: 88 = 4 × 22, so 2 comes out and it becomes 2√22.

Q. Between which integers does it fall?

Between 9 and 10.

Q. What is the cube root of 88?

About 4.44796.