√71 =
√71
≈ 8.42615
Square root of 71 — 8.42615 (√71)
Irrational
The square root of 71 is about 8.42615, or exactly √71. It lies between 8 and 9.
- As a decimal
- ≈ 8.42615
- Simplified surd
- √71 = √71
- Between
- 8 < √71 < 9
- Squared
- 71² = 5041
- Cube root
- ∛71 ≈ 4.140818
Nearby numbers
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 71?
About 8.42615, or exactly √71.
Q. Can the surd be simplified?
No — there is no square factor to pull out.
Q. Between which integers does it fall?
Between 8 and 9.
Q. What is the cube root of 71?
About 4.140818.