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Square root of 3424

The square root of 3424 is 58.514955 (rounded to 6 decimal places). In simplest radical form it is 4√214.

Square root of 3424

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 3424 is the number that multiplied by itself gives 3424.

  2. 2

    3424 is between the perfect squares 58² = 3364 and 59² = 3481, so its square root is between 58 and 59.

  3. 3

    Pull out the biggest square factor: 3424 = 16 Ɨ 214, so

    3424=16Ɨ214=4214\sqrt{3424} = \sqrt{16 \times 214} = 4\sqrt{214}
  4. 4

    A calculator, or long division of digits, gives

    3424ā‰ˆ58.514955\sqrt{3424} \approx 58.514955
LaTeX source of the formulas on this page
\[ \sqrt{3424} = 4\sqrt{214} \approx 58.514955 \]
\[ \sqrt{3424} = \sqrt{16 \times 214} = 4\sqrt{214} \]
\[ \sqrt{3424} \approx 58.514955 \]

Squares around 3424

NumberSquared
573249
583364
593481
603600

Questions

What is the square root of 3424?

The square root of 3424 is 58.514955 (rounded to 6 decimal places). In simplest radical form it is 4√214.

Is 3424 a perfect square?

No. It lies between 58² = 3364 and 59² = 3481.

What is 3424 squared?

3424 Ɨ 3424 = 11723776.

What is the square root of 3424 rounded to 2 decimals?

58.51.

Nearby numbers

More about 3424

    Square root of 3424: 58.514955 | WordGPT