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Square root of 4949

The square root of 4949 is 70.349129 (rounded to 6 decimal places). In simplest radical form it is 7√101.

Square root of 4949

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 4949 is the number that multiplied by itself gives 4949.

  2. 2

    4949 is between the perfect squares 70² = 4900 and 71² = 5041, so its square root is between 70 and 71.

  3. 3

    Pull out the biggest square factor: 4949 = 49 Ɨ 101, so

    4949=49Ɨ101=7101\sqrt{4949} = \sqrt{49 \times 101} = 7\sqrt{101}
  4. 4

    A calculator, or long division of digits, gives

    4949ā‰ˆ70.349129\sqrt{4949} \approx 70.349129
LaTeX source of the formulas on this page
\[ \sqrt{4949} = 7\sqrt{101} \approx 70.349129 \]
\[ \sqrt{4949} = \sqrt{49 \times 101} = 7\sqrt{101} \]
\[ \sqrt{4949} \approx 70.349129 \]

Squares around 4949

NumberSquared
694761
704900
715041
725184

Questions

What is the square root of 4949?

The square root of 4949 is 70.349129 (rounded to 6 decimal places). In simplest radical form it is 7√101.

Is 4949 a perfect square?

No. It lies between 70² = 4900 and 71² = 5041.

What is 4949 squared?

4949 Ɨ 4949 = 24492601.

What is the square root of 4949 rounded to 2 decimals?

70.35.

Nearby numbers

More about 4949

    Square root of 4949: 70.349129 | WordGPT