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Square root of 5428

The square root of 5428 is 73.674962 (rounded to 6 decimal places). In simplest radical form it is 2√1357.

Square root of 5428

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5428 is the number that multiplied by itself gives 5428.

  2. 2

    5428 is between the perfect squares 73² = 5329 and 74² = 5476, so its square root is between 73 and 74.

  3. 3

    Pull out the biggest square factor: 5428 = 4 Ɨ 1357, so

    5428=4Ɨ1357=21357\sqrt{5428} = \sqrt{4 \times 1357} = 2\sqrt{1357}
  4. 4

    A calculator, or long division of digits, gives

    5428ā‰ˆ73.674962\sqrt{5428} \approx 73.674962
LaTeX source of the formulas on this page
\[ \sqrt{5428} = 2\sqrt{1357} \approx 73.674962 \]
\[ \sqrt{5428} = \sqrt{4 \times 1357} = 2\sqrt{1357} \]
\[ \sqrt{5428} \approx 73.674962 \]

Squares around 5428

NumberSquared
725184
735329
745476
755625

Questions

What is the square root of 5428?

The square root of 5428 is 73.674962 (rounded to 6 decimal places). In simplest radical form it is 2√1357.

Is 5428 a perfect square?

No. It lies between 73² = 5329 and 74² = 5476.

What is 5428 squared?

5428 Ɨ 5428 = 29463184.

What is the square root of 5428 rounded to 2 decimals?

73.67.

Nearby numbers

More about 5428

    Square root of 5428: 73.674962 | WordGPT