Square root of 7748

The square root of 7748 is 88.022724 (rounded to 6 decimal places). In simplest radical form it is 2√1937.

Square root of 7748

Pick any whole number from 1 to 10,000.

\sqrt{7748} = 2\sqrt{1937} \approx 88.022724

How to work it out

1
The square root of 7748 is the number that multiplied by itself gives 7748.
2
7748 is between the perfect squares 88² = 7744 and 89² = 7921, so its square root is between 88 and 89.
3
Pull out the biggest square factor: 7748 = 4 × 1937, so
$\sqrt{7748} = \sqrt{4 \times 1937} = 2\sqrt{1937}$
4
A calculator, or long division of digits, gives
$\sqrt{7748} \approx 88.022724$

LaTeX source of the formulas on this page

\[ \sqrt{7748} = 2\sqrt{1937} \approx 88.022724 \]
\[ \sqrt{7748} = \sqrt{4 \times 1937} = 2\sqrt{1937} \]
\[ \sqrt{7748} \approx 88.022724 \]

What is the square root of 7748?

The square root of 7748 is 88.022724 (rounded to 6 decimal places). In simplest radical form it is 2√1937.

Is 7748 a perfect square?

No. It lies between 88² = 7744 and 89² = 7921.

What is 7748 squared?

7748 × 7748 = 60031504.

What is the square root of 7748 rounded to 2 decimals?

88.02.