Square root of 7440

The square root of 7440 is 86.255435 (rounded to 6 decimal places). In simplest radical form it is 4√465.

Square root of 7440

Pick any whole number from 1 to 10,000.

\sqrt{7440} = 4\sqrt{465} \approx 86.255435

How to work it out

1
The square root of 7440 is the number that multiplied by itself gives 7440.
2
7440 is between the perfect squares 86² = 7396 and 87² = 7569, so its square root is between 86 and 87.
3
Pull out the biggest square factor: 7440 = 16 × 465, so
$\sqrt{7440} = \sqrt{16 \times 465} = 4\sqrt{465}$
4
A calculator, or long division of digits, gives
$\sqrt{7440} \approx 86.255435$

LaTeX source of the formulas on this page

\[ \sqrt{7440} = 4\sqrt{465} \approx 86.255435 \]
\[ \sqrt{7440} = \sqrt{16 \times 465} = 4\sqrt{465} \]
\[ \sqrt{7440} \approx 86.255435 \]

What is the square root of 7440?

The square root of 7440 is 86.255435 (rounded to 6 decimal places). In simplest radical form it is 4√465.

Is 7440 a perfect square?

No. It lies between 86² = 7396 and 87² = 7569.

What is 7440 squared?

7440 × 7440 = 55353600.

What is the square root of 7440 rounded to 2 decimals?

86.26.