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Square root of 7072

The square root of 7072 is 84.095184 (rounded to 6 decimal places). In simplest radical form it is 4√442.

Square root of 7072

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 7072 is the number that multiplied by itself gives 7072.

  2. 2

    7072 is between the perfect squares 84² = 7056 and 85² = 7225, so its square root is between 84 and 85.

  3. 3

    Pull out the biggest square factor: 7072 = 16 Ɨ 442, so

    7072=16Ɨ442=4442\sqrt{7072} = \sqrt{16 \times 442} = 4\sqrt{442}
  4. 4

    A calculator, or long division of digits, gives

    7072ā‰ˆ84.095184\sqrt{7072} \approx 84.095184
LaTeX source of the formulas on this page
\[ \sqrt{7072} = 4\sqrt{442} \approx 84.095184 \]
\[ \sqrt{7072} = \sqrt{16 \times 442} = 4\sqrt{442} \]
\[ \sqrt{7072} \approx 84.095184 \]

Squares around 7072

NumberSquared
836889
847056
857225
867396

Questions

What is the square root of 7072?

The square root of 7072 is 84.095184 (rounded to 6 decimal places). In simplest radical form it is 4√442.

Is 7072 a perfect square?

No. It lies between 84² = 7056 and 85² = 7225.

What is 7072 squared?

7072 Ɨ 7072 = 50013184.

What is the square root of 7072 rounded to 2 decimals?

84.10.

Nearby numbers

More about 7072

    Square root of 7072: 84.095184 | WordGPT