Square root of 5750

The square root of 5750 is 75.828754 (rounded to 6 decimal places). In simplest radical form it is 5√230.

Square root of 5750

Pick any whole number from 1 to 10,000.

\sqrt{5750} = 5\sqrt{230} \approx 75.828754

How to work it out

1
The square root of 5750 is the number that multiplied by itself gives 5750.
2
5750 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5750 = 25 × 230, so
$\sqrt{5750} = \sqrt{25 \times 230} = 5\sqrt{230}$
4
A calculator, or long division of digits, gives
$\sqrt{5750} \approx 75.828754$

LaTeX source of the formulas on this page

\[ \sqrt{5750} = 5\sqrt{230} \approx 75.828754 \]
\[ \sqrt{5750} = \sqrt{25 \times 230} = 5\sqrt{230} \]
\[ \sqrt{5750} \approx 75.828754 \]

What is the square root of 5750?

The square root of 5750 is 75.828754 (rounded to 6 decimal places). In simplest radical form it is 5√230.

Is 5750 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5750 squared?

5750 × 5750 = 33062500.

What is the square root of 5750 rounded to 2 decimals?

75.83.