Square roots·√202
√202 =
√202
≈ 14.21267

Square root of 202 — 14.21267 (√202)

Irrational

The square root of 202 is about 14.21267, or exactly √202. It lies between 14 and 15.

As a decimal
≈ 14.21267
Simplified surd
√202 = √202
Between
14 < √202 < 15
Squared
202² = 40804
Cube root
∛202 ≈ 5.867464

Nearby numbers

√199 = √199√200 = 10√2√201 = √201√203 = √203√204 = 2√51√205 = √205

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 202?

About 14.21267, or exactly √202.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 14 and 15.

Q. What is the cube root of 202?

About 5.867464.