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Square root of 135

The square root of 135 is 11.61895 (rounded to 6 decimal places). In simplest radical form it is 3√15.

Square root of 135

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 135 is the number that multiplied by itself gives 135.

  2. 2

    135 is between the perfect squares 11² = 121 and 12² = 144, so its square root is between 11 and 12.

  3. 3

    Pull out the biggest square factor: 135 = 9 Ɨ 15, so

    135=9Ɨ15=315\sqrt{135} = \sqrt{9 \times 15} = 3\sqrt{15}
  4. 4

    A calculator, or long division of digits, gives

    135ā‰ˆ11.61895\sqrt{135} \approx 11.61895
LaTeX source of the formulas on this page
\[ \sqrt{135} = 3\sqrt{15} \approx 11.61895 \]
\[ \sqrt{135} = \sqrt{9 \times 15} = 3\sqrt{15} \]
\[ \sqrt{135} \approx 11.61895 \]

Squares around 135

NumberSquared
10100
11121
12144
13169

Questions

What is the square root of 135?

The square root of 135 is 11.61895 (rounded to 6 decimal places). In simplest radical form it is 3√15.

Is 135 a perfect square?

No. It lies between 11² = 121 and 12² = 144.

What is 135 squared?

135 Ɨ 135 = 18225.

What is the square root of 135 rounded to 2 decimals?

11.62.

Nearby numbers

More about 135

    Square root of 135: 11.61895 | WordGPT