Square roots·√46
√46 =
√46
≈ 6.78233

Square root of 46 — 6.78233 (√46)

Irrational

The square root of 46 is about 6.78233, or exactly √46. It lies between 6 and 7.

As a decimal
≈ 6.78233
Simplified surd
√46 = √46
Between
6 < √46 < 7
Squared
46² = 2116
Cube root
∛46 ≈ 3.583048

Nearby numbers

√43 = √43√44 = 2√11√45 = 3√5√47 = √47√48 = 4√3√49 = 7

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 46?

About 6.78233, or exactly √46.

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 46?

About 3.583048.