Square root of 2300

The square root of 2300 is 47.958315 (rounded to 6 decimal places). In simplest radical form it is 10√23.

Square root of 2300

Pick any whole number from 1 to 10,000.

\sqrt{2300} = 10\sqrt{23} \approx 47.958315

How to work it out

1
The square root of 2300 is the number that multiplied by itself gives 2300.
2
2300 is between the perfect squares 47² = 2209 and 48² = 2304, so its square root is between 47 and 48.
3
Pull out the biggest square factor: 2300 = 100 × 23, so
$\sqrt{2300} = \sqrt{100 \times 23} = 10\sqrt{23}$
4
A calculator, or long division of digits, gives
$\sqrt{2300} \approx 47.958315$

LaTeX source of the formulas on this page

\[ \sqrt{2300} = 10\sqrt{23} \approx 47.958315 \]
\[ \sqrt{2300} = \sqrt{100 \times 23} = 10\sqrt{23} \]
\[ \sqrt{2300} \approx 47.958315 \]

What is the square root of 2300?

The square root of 2300 is 47.958315 (rounded to 6 decimal places). In simplest radical form it is 10√23.

Is 2300 a perfect square?

No. It lies between 47² = 2209 and 48² = 2304.

What is 2300 squared?

2300 × 2300 = 5290000.

What is the square root of 2300 rounded to 2 decimals?

47.96.