Square roots·√47
√47 =
√47
≈ 6.855655

Square root of 47 — 6.855655 (√47)

Irrational

The square root of 47 is about 6.855655, or exactly √47. It lies between 6 and 7.

As a decimal
≈ 6.855655
Simplified surd
√47 = √47
Between
6 < √47 < 7
Squared
47² = 2209
Cube root
∛47 ≈ 3.608826

Nearby numbers

√44 = 2√11√45 = 3√5√46 = √46√48 = 4√3√49 = 7√50 = 5√2

From 1 to 200

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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 47?

About 6.855655, or exactly √47.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 6 and 7.

Q. What is the cube root of 47?

About 3.608826.