Square root of 3038

The square root of 3038 is 55.118055 (rounded to 6 decimal places). In simplest radical form it is 7√62.

Square root of 3038

Pick any whole number from 1 to 10,000.

\sqrt{3038} = 7\sqrt{62} \approx 55.118055

How to work it out

1
The square root of 3038 is the number that multiplied by itself gives 3038.
2
3038 is between the perfect squares 55² = 3025 and 56² = 3136, so its square root is between 55 and 56.
3
Pull out the biggest square factor: 3038 = 49 × 62, so
$\sqrt{3038} = \sqrt{49 \times 62} = 7\sqrt{62}$
4
A calculator, or long division of digits, gives
$\sqrt{3038} \approx 55.118055$

LaTeX source of the formulas on this page

\[ \sqrt{3038} = 7\sqrt{62} \approx 55.118055 \]
\[ \sqrt{3038} = \sqrt{49 \times 62} = 7\sqrt{62} \]
\[ \sqrt{3038} \approx 55.118055 \]

What is the square root of 3038?

The square root of 3038 is 55.118055 (rounded to 6 decimal places). In simplest radical form it is 7√62.

Is 3038 a perfect square?

No. It lies between 55² = 3025 and 56² = 3136.

What is 3038 squared?

3038 × 3038 = 9229444.

What is the square root of 3038 rounded to 2 decimals?

55.12.