Square root of 7988

The square root of 7988 is 89.375612 (rounded to 6 decimal places). In simplest radical form it is 2√1997.

Square root of 7988

Pick any whole number from 1 to 10,000.

\sqrt{7988} = 2\sqrt{1997} \approx 89.375612

How to work it out

1
The square root of 7988 is the number that multiplied by itself gives 7988.
2
7988 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: 7988 = 4 × 1997, so
$\sqrt{7988} = \sqrt{4 \times 1997} = 2\sqrt{1997}$
4
A calculator, or long division of digits, gives
$\sqrt{7988} \approx 89.375612$

LaTeX source of the formulas on this page

\[ \sqrt{7988} = 2\sqrt{1997} \approx 89.375612 \]
\[ \sqrt{7988} = \sqrt{4 \times 1997} = 2\sqrt{1997} \]
\[ \sqrt{7988} \approx 89.375612 \]

What is the square root of 7988?

The square root of 7988 is 89.375612 (rounded to 6 decimal places). In simplest radical form it is 2√1997.

Is 7988 a perfect square?

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

What is 7988 squared?

7988 × 7988 = 63808144.

What is the square root of 7988 rounded to 2 decimals?

89.38.