Square roots·√101
√101 =
√101
≈ 10.049876

Square root of 101 — 10.049876 (√101)

Irrational

The square root of 101 is about 10.049876, or exactly √101. It lies between 10 and 11.

As a decimal
≈ 10.049876
Simplified surd
√101 = √101
Between
10 < √101 < 11
Squared
101² = 10201
Cube root
∛101 ≈ 4.65701

Nearby numbers

√98 = 7√2√99 = 3√11√100 = 10√102 = √102√103 = √103√104 = 2√26

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 101?

About 10.049876, or exactly √101.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 10 and 11.

Q. What is the cube root of 101?

About 4.65701.