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Square root of 4165

The square root of 4165 is 64.536811 (rounded to 6 decimal places). In simplest radical form it is 7√85.

Square root of 4165

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 4165 is the number that multiplied by itself gives 4165.

  2. 2

    4165 is between the perfect squares 64² = 4096 and 65² = 4225, so its square root is between 64 and 65.

  3. 3

    Pull out the biggest square factor: 4165 = 49 Ɨ 85, so

    4165=49Ɨ85=785\sqrt{4165} = \sqrt{49 \times 85} = 7\sqrt{85}
  4. 4

    A calculator, or long division of digits, gives

    4165ā‰ˆ64.536811\sqrt{4165} \approx 64.536811
LaTeX source of the formulas on this page
\[ \sqrt{4165} = 7\sqrt{85} \approx 64.536811 \]
\[ \sqrt{4165} = \sqrt{49 \times 85} = 7\sqrt{85} \]
\[ \sqrt{4165} \approx 64.536811 \]

Squares around 4165

NumberSquared
633969
644096
654225
664356

Questions

What is the square root of 4165?

The square root of 4165 is 64.536811 (rounded to 6 decimal places). In simplest radical form it is 7√85.

Is 4165 a perfect square?

No. It lies between 64² = 4096 and 65² = 4225.

What is 4165 squared?

4165 Ɨ 4165 = 17347225.

What is the square root of 4165 rounded to 2 decimals?

64.54.

Nearby numbers

More about 4165

    Square root of 4165: 64.536811 | WordGPT