Square root of 6025

The square root of 6025 is 77.620873 (rounded to 6 decimal places). In simplest radical form it is 5√241.

Square root of 6025

Pick any whole number from 1 to 10,000.

\sqrt{6025} = 5\sqrt{241} \approx 77.620873

How to work it out

1
The square root of 6025 is the number that multiplied by itself gives 6025.
2
6025 is between the perfect squares 77² = 5929 and 78² = 6084, so its square root is between 77 and 78.
3
Pull out the biggest square factor: 6025 = 25 × 241, so
$\sqrt{6025} = \sqrt{25 \times 241} = 5\sqrt{241}$
4
A calculator, or long division of digits, gives
$\sqrt{6025} \approx 77.620873$

LaTeX source of the formulas on this page

\[ \sqrt{6025} = 5\sqrt{241} \approx 77.620873 \]
\[ \sqrt{6025} = \sqrt{25 \times 241} = 5\sqrt{241} \]
\[ \sqrt{6025} \approx 77.620873 \]

What is the square root of 6025?

The square root of 6025 is 77.620873 (rounded to 6 decimal places). In simplest radical form it is 5√241.

Is 6025 a perfect square?

No. It lies between 77² = 5929 and 78² = 6084.

What is 6025 squared?

6025 × 6025 = 36300625.

What is the square root of 6025 rounded to 2 decimals?

77.62.