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Square root of 5420

The square root of 5420 is 73.620649 (rounded to 6 decimal places). In simplest radical form it is 2√1355.

Square root of 5420

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 5420 is the number that multiplied by itself gives 5420.

  2. 2

    5420 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: 5420 = 4 Ɨ 1355, so

    5420=4Ɨ1355=21355\sqrt{5420} = \sqrt{4 \times 1355} = 2\sqrt{1355}
  4. 4

    A calculator, or long division of digits, gives

    5420ā‰ˆ73.620649\sqrt{5420} \approx 73.620649
LaTeX source of the formulas on this page
\[ \sqrt{5420} = 2\sqrt{1355} \approx 73.620649 \]
\[ \sqrt{5420} = \sqrt{4 \times 1355} = 2\sqrt{1355} \]
\[ \sqrt{5420} \approx 73.620649 \]

Squares around 5420

NumberSquared
725184
735329
745476
755625

Questions

What is the square root of 5420?

The square root of 5420 is 73.620649 (rounded to 6 decimal places). In simplest radical form it is 2√1355.

Is 5420 a perfect square?

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

What is 5420 squared?

5420 Ɨ 5420 = 29376400.

What is the square root of 5420 rounded to 2 decimals?

73.62.

Nearby numbers

More about 5420

    Square root of 5420: 73.620649 | WordGPT