Square root of 7948

The square root of 7948 is 89.151556 (rounded to 6 decimal places). In simplest radical form it is 2√1987.

Square root of 7948

Pick any whole number from 1 to 10,000.

\sqrt{7948} = 2\sqrt{1987} \approx 89.151556

How to work it out

1
The square root of 7948 is the number that multiplied by itself gives 7948.
2
7948 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 7948 = 4 × 1987, so
$\sqrt{7948} = \sqrt{4 \times 1987} = 2\sqrt{1987}$
4
A calculator, or long division of digits, gives
$\sqrt{7948} \approx 89.151556$

LaTeX source of the formulas on this page

\[ \sqrt{7948} = 2\sqrt{1987} \approx 89.151556 \]
\[ \sqrt{7948} = \sqrt{4 \times 1987} = 2\sqrt{1987} \]
\[ \sqrt{7948} \approx 89.151556 \]

What is the square root of 7948?

The square root of 7948 is 89.151556 (rounded to 6 decimal places). In simplest radical form it is 2√1987.

Is 7948 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 7948 squared?

7948 × 7948 = 63170704.

What is the square root of 7948 rounded to 2 decimals?

89.15.