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Square root of 188

The square root of 188 is 13.711309 (rounded to 6 decimal places). In simplest radical form it is 2√47.

Square root of 188

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 188 is the number that multiplied by itself gives 188.

  2. 2

    188 is between the perfect squares 13² = 169 and 14² = 196, so its square root is between 13 and 14.

  3. 3

    Pull out the biggest square factor: 188 = 4 Ɨ 47, so

    188=4Ɨ47=247\sqrt{188} = \sqrt{4 \times 47} = 2\sqrt{47}
  4. 4

    A calculator, or long division of digits, gives

    188ā‰ˆ13.711309\sqrt{188} \approx 13.711309
LaTeX source of the formulas on this page
\[ \sqrt{188} = 2\sqrt{47} \approx 13.711309 \]
\[ \sqrt{188} = \sqrt{4 \times 47} = 2\sqrt{47} \]
\[ \sqrt{188} \approx 13.711309 \]

Squares around 188

NumberSquared
12144
13169
14196
15225

Questions

What is the square root of 188?

The square root of 188 is 13.711309 (rounded to 6 decimal places). In simplest radical form it is 2√47.

Is 188 a perfect square?

No. It lies between 13² = 169 and 14² = 196.

What is 188 squared?

188 Ɨ 188 = 35344.

What is the square root of 188 rounded to 2 decimals?

13.71.

Nearby numbers

More about 188

    Square root of 188: 13.711309 | WordGPT