Square root of 7448

The square root of 7448 is 86.301796 (rounded to 6 decimal places). In simplest radical form it is 14√38.

Square root of 7448

Pick any whole number from 1 to 10,000.

\sqrt{7448} = 14\sqrt{38} \approx 86.301796

How to work it out

1
The square root of 7448 is the number that multiplied by itself gives 7448.
2
7448 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: 7448 = 196 × 38, so
$\sqrt{7448} = \sqrt{196 \times 38} = 14\sqrt{38}$
4
A calculator, or long division of digits, gives
$\sqrt{7448} \approx 86.301796$

LaTeX source of the formulas on this page

\[ \sqrt{7448} = 14\sqrt{38} \approx 86.301796 \]
\[ \sqrt{7448} = \sqrt{196 \times 38} = 14\sqrt{38} \]
\[ \sqrt{7448} \approx 86.301796 \]

What is the square root of 7448?

The square root of 7448 is 86.301796 (rounded to 6 decimal places). In simplest radical form it is 14√38.

Is 7448 a perfect square?

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

What is 7448 squared?

7448 × 7448 = 55472704.

What is the square root of 7448 rounded to 2 decimals?

86.30.