Square roots·√30
√30 =
√30
≈ 5.477226

Square root of 30 — 5.477226 (√30)

Irrational

The square root of 30 is about 5.477226, or exactly √30. It lies between 5 and 6.

As a decimal
≈ 5.477226
Simplified surd
√30 = √30
Between
5 < √30 < 6
Squared
30² = 900
Cube root
∛30 ≈ 3.107233

Nearby numbers

√27 = 3√3√28 = 2√7√29 = √29√31 = √31√32 = 4√2√33 = √33

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 30?

About 5.477226, or exactly √30.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 5 and 6.

Q. What is the cube root of 30?

About 3.107233.