Square roots·55
55 =
√55
≈ 7.416198

Square root of 55 — 7.416198 (√55)

Irrational

The square root of 55 is about 7.416198, or exactly √55. It lies between 7 and 8.

As a decimal
≈ 7.416198
Simplified surd
√55 = √55
Between
7 < √55 < 8
Squared
55² = 3025
Cube root
∛55 ≈ 3.802952

Nearby numbers

From 1 to 200

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 55?

About 7.416198, or exactly √55.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 7 and 8.

Q. What is the cube root of 55?

About 3.802952.