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Square root of 6225

The square root of 6225 is 78.898669 (rounded to 6 decimal places). In simplest radical form it is 5√249.

Square root of 6225

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    The square root of 6225 is the number that multiplied by itself gives 6225.

  2. 2

    6225 is between the perfect squares 78² = 6084 and 79² = 6241, so its square root is between 78 and 79.

  3. 3

    Pull out the biggest square factor: 6225 = 25 Ɨ 249, so

    6225=25Ɨ249=5249\sqrt{6225} = \sqrt{25 \times 249} = 5\sqrt{249}
  4. 4

    A calculator, or long division of digits, gives

    6225ā‰ˆ78.898669\sqrt{6225} \approx 78.898669
LaTeX source of the formulas on this page
\[ \sqrt{6225} = 5\sqrt{249} \approx 78.898669 \]
\[ \sqrt{6225} = \sqrt{25 \times 249} = 5\sqrt{249} \]
\[ \sqrt{6225} \approx 78.898669 \]

Squares around 6225

NumberSquared
775929
786084
796241
806400

Questions

What is the square root of 6225?

The square root of 6225 is 78.898669 (rounded to 6 decimal places). In simplest radical form it is 5√249.

Is 6225 a perfect square?

No. It lies between 78² = 6084 and 79² = 6241.

What is 6225 squared?

6225 Ɨ 6225 = 38750625.

What is the square root of 6225 rounded to 2 decimals?

78.90.

Nearby numbers

More about 6225

    Square root of 6225: 78.898669 | WordGPT