Square root of 7980

The square root of 7980 is 89.330846 (rounded to 6 decimal places). In simplest radical form it is 2√1995.

Square root of 7980

Pick any whole number from 1 to 10,000.

\sqrt{7980} = 2\sqrt{1995} \approx 89.330846

How to work it out

1
The square root of 7980 is the number that multiplied by itself gives 7980.
2
7980 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: 7980 = 4 × 1995, so
$\sqrt{7980} = \sqrt{4 \times 1995} = 2\sqrt{1995}$
4
A calculator, or long division of digits, gives
$\sqrt{7980} \approx 89.330846$

LaTeX source of the formulas on this page

\[ \sqrt{7980} = 2\sqrt{1995} \approx 89.330846 \]
\[ \sqrt{7980} = \sqrt{4 \times 1995} = 2\sqrt{1995} \]
\[ \sqrt{7980} \approx 89.330846 \]

What is the square root of 7980?

The square root of 7980 is 89.330846 (rounded to 6 decimal places). In simplest radical form it is 2√1995.

Is 7980 a perfect square?

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

What is 7980 squared?

7980 × 7980 = 63680400.

What is the square root of 7980 rounded to 2 decimals?

89.33.