Square root of 6453

The square root of 6453 is 80.330567 (rounded to 6 decimal places). In simplest radical form it is 3√717.

Square root of 6453

Pick any whole number from 1 to 10,000.

\sqrt{6453} = 3\sqrt{717} \approx 80.330567

How to work it out

1
The square root of 6453 is the number that multiplied by itself gives 6453.
2
6453 is between the perfect squares 80² = 6400 and 81² = 6561, so its square root is between 80 and 81.
3
Pull out the biggest square factor: 6453 = 9 × 717, so
$\sqrt{6453} = \sqrt{9 \times 717} = 3\sqrt{717}$
4
A calculator, or long division of digits, gives
$\sqrt{6453} \approx 80.330567$

LaTeX source of the formulas on this page

\[ \sqrt{6453} = 3\sqrt{717} \approx 80.330567 \]
\[ \sqrt{6453} = \sqrt{9 \times 717} = 3\sqrt{717} \]
\[ \sqrt{6453} \approx 80.330567 \]

What is the square root of 6453?

The square root of 6453 is 80.330567 (rounded to 6 decimal places). In simplest radical form it is 3√717.

Is 6453 a perfect square?

No. It lies between 80² = 6400 and 81² = 6561.

What is 6453 squared?

6453 × 6453 = 41641209.

What is the square root of 6453 rounded to 2 decimals?

80.33.