Square roots·√7
√7 =
√7
≈ 2.645751

Square root of 7 — 2.645751 (√7)

Irrational

The square root of 7 is about 2.645751, or exactly √7. It lies between 2 and 3.

As a decimal
≈ 2.645751
Simplified surd
√7 = √7
Between
2 < √7 < 3
Squared
7² = 49
Cube root
∛7 ≈ 1.912931

Nearby numbers

√4 = 2√5 = √5√6 = √6√8 = 2√2√9 = 3√10 = √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 7?

About 2.645751, or exactly √7.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 2 and 3.

Q. What is the cube root of 7?

About 1.912931.