Square root of 4125

The square root of 4125 is 64.226163 (rounded to 6 decimal places). In simplest radical form it is 5√165.

Square root of 4125

Pick any whole number from 1 to 10,000.

\sqrt{4125} = 5\sqrt{165} \approx 64.226163

How to work it out

1
The square root of 4125 is the number that multiplied by itself gives 4125.
2
4125 is between the perfect squares 64² = 4096 and 65² = 4225, so its square root is between 64 and 65.
3
Pull out the biggest square factor: 4125 = 25 × 165, so
$\sqrt{4125} = \sqrt{25 \times 165} = 5\sqrt{165}$
4
A calculator, or long division of digits, gives
$\sqrt{4125} \approx 64.226163$

LaTeX source of the formulas on this page

\[ \sqrt{4125} = 5\sqrt{165} \approx 64.226163 \]
\[ \sqrt{4125} = \sqrt{25 \times 165} = 5\sqrt{165} \]
\[ \sqrt{4125} \approx 64.226163 \]

What is the square root of 4125?

The square root of 4125 is 64.226163 (rounded to 6 decimal places). In simplest radical form it is 5√165.

Is 4125 a perfect square?

No. It lies between 64² = 4096 and 65² = 4225.

What is 4125 squared?

4125 × 4125 = 17015625.

What is the square root of 4125 rounded to 2 decimals?

64.23.