Square roots·√102
√102 =
√102
≈ 10.099505

Square root of 102 — 10.099505 (√102)

Irrational

The square root of 102 is about 10.099505, or exactly √102. It lies between 10 and 11.

As a decimal
≈ 10.099505
Simplified surd
√102 = √102
Between
10 < √102 < 11
Squared
102² = 10404
Cube root
∛102 ≈ 4.672329

Nearby numbers

√99 = 3√11√100 = 10√101 = √101√103 = √103√104 = 2√26√105 = √105

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 102?

About 10.099505, or exactly √102.

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 102?

About 4.672329.