Square root of 7960

The square root of 7960 is 89.218832 (rounded to 6 decimal places). In simplest radical form it is 2√1990.

Square root of 7960

Pick any whole number from 1 to 10,000.

\sqrt{7960} = 2\sqrt{1990} \approx 89.218832

How to work it out

1
The square root of 7960 is the number that multiplied by itself gives 7960.
2
7960 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: 7960 = 4 × 1990, so
$\sqrt{7960} = \sqrt{4 \times 1990} = 2\sqrt{1990}$
4
A calculator, or long division of digits, gives
$\sqrt{7960} \approx 89.218832$

LaTeX source of the formulas on this page

\[ \sqrt{7960} = 2\sqrt{1990} \approx 89.218832 \]
\[ \sqrt{7960} = \sqrt{4 \times 1990} = 2\sqrt{1990} \]
\[ \sqrt{7960} \approx 89.218832 \]

What is the square root of 7960?

The square root of 7960 is 89.218832 (rounded to 6 decimal places). In simplest radical form it is 2√1990.

Is 7960 a perfect square?

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

What is 7960 squared?

7960 × 7960 = 63361600.

What is the square root of 7960 rounded to 2 decimals?

89.22.