Square root of 1525

The square root of 1525 is 39.051248 (rounded to 6 decimal places). In simplest radical form it is 5√61.

Square root of 1525

Pick any whole number from 1 to 10,000.

\sqrt{1525} = 5\sqrt{61} \approx 39.051248

How to work it out

1
The square root of 1525 is the number that multiplied by itself gives 1525.
2
1525 is between the perfect squares 39² = 1521 and 40² = 1600, so its square root is between 39 and 40.
3
Pull out the biggest square factor: 1525 = 25 × 61, so
$\sqrt{1525} = \sqrt{25 \times 61} = 5\sqrt{61}$
4
A calculator, or long division of digits, gives
$\sqrt{1525} \approx 39.051248$

LaTeX source of the formulas on this page

\[ \sqrt{1525} = 5\sqrt{61} \approx 39.051248 \]
\[ \sqrt{1525} = \sqrt{25 \times 61} = 5\sqrt{61} \]
\[ \sqrt{1525} \approx 39.051248 \]

What is the square root of 1525?

The square root of 1525 is 39.051248 (rounded to 6 decimal places). In simplest radical form it is 5√61.

Is 1525 a perfect square?

No. It lies between 39² = 1521 and 40² = 1600.

What is 1525 squared?

1525 × 1525 = 2325625.

What is the square root of 1525 rounded to 2 decimals?

39.05.