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Square root of 490

The square root of 490 is 22.135944 (rounded to 6 decimal places). In simplest radical form it is 7√10.

Square root of 490

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 490 is the number that multiplied by itself gives 490.

  2. 2

    490 is between the perfect squares 22² = 484 and 23² = 529, so its square root is between 22 and 23.

  3. 3

    Pull out the biggest square factor: 490 = 49 Ɨ 10, so

    490=49Ɨ10=710\sqrt{490} = \sqrt{49 \times 10} = 7\sqrt{10}
  4. 4

    A calculator, or long division of digits, gives

    490ā‰ˆ22.135944\sqrt{490} \approx 22.135944
LaTeX source of the formulas on this page
\[ \sqrt{490} = 7\sqrt{10} \approx 22.135944 \]
\[ \sqrt{490} = \sqrt{49 \times 10} = 7\sqrt{10} \]
\[ \sqrt{490} \approx 22.135944 \]

Squares around 490

NumberSquared
21441
22484
23529
24576

Questions

What is the square root of 490?

The square root of 490 is 22.135944 (rounded to 6 decimal places). In simplest radical form it is 7√10.

Is 490 a perfect square?

No. It lies between 22² = 484 and 23² = 529.

What is 490 squared?

490 Ɨ 490 = 240100.

What is the square root of 490 rounded to 2 decimals?

22.14.

Nearby numbers

More about 490

    Square root of 490: 22.135944 | WordGPT