Square roots·√2
√2 =
√2
≈ 1.414214

Square root of 2 — 1.414214 (√2)

Irrational

The square root of 2 is about 1.414214, or exactly √2. It lies between 1 and 2.

As a decimal
≈ 1.414214
Simplified surd
√2 = √2
Between
1 < √2 < 2
Squared
2² = 4
Cube root
∛2 ≈ 1.259921

Nearby numbers

√1 = 1√3 = √3√4 = 2√5 = √5

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 2?

About 1.414214, or exactly √2.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 1 and 2.

Q. What is the cube root of 2?

About 1.259921.