Square root of 5145

The square root of 5145 is 71.728655 (rounded to 6 decimal places). In simplest radical form it is 7√105.

Square root of 5145

Pick any whole number from 1 to 10,000.

\sqrt{5145} = 7\sqrt{105} \approx 71.728655

How to work it out

1
The square root of 5145 is the number that multiplied by itself gives 5145.
2
5145 is between the perfect squares 71² = 5041 and 72² = 5184, so its square root is between 71 and 72.
3
Pull out the biggest square factor: 5145 = 49 × 105, so
$\sqrt{5145} = \sqrt{49 \times 105} = 7\sqrt{105}$
4
A calculator, or long division of digits, gives
$\sqrt{5145} \approx 71.728655$

LaTeX source of the formulas on this page

\[ \sqrt{5145} = 7\sqrt{105} \approx 71.728655 \]
\[ \sqrt{5145} = \sqrt{49 \times 105} = 7\sqrt{105} \]
\[ \sqrt{5145} \approx 71.728655 \]

What is the square root of 5145?

The square root of 5145 is 71.728655 (rounded to 6 decimal places). In simplest radical form it is 7√105.

Is 5145 a perfect square?

No. It lies between 71² = 5041 and 72² = 5184.

What is 5145 squared?

5145 × 5145 = 26471025.

What is the square root of 5145 rounded to 2 decimals?

71.73.