Square root of 7888

The square root of 7888 is 88.814413 (rounded to 6 decimal places). In simplest radical form it is 4√493.

Square root of 7888

Pick any whole number from 1 to 10,000.

\sqrt{7888} = 4\sqrt{493} \approx 88.814413

How to work it out

1
The square root of 7888 is the number that multiplied by itself gives 7888.
2
7888 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: 7888 = 16 × 493, so
$\sqrt{7888} = \sqrt{16 \times 493} = 4\sqrt{493}$
4
A calculator, or long division of digits, gives
$\sqrt{7888} \approx 88.814413$

LaTeX source of the formulas on this page

\[ \sqrt{7888} = 4\sqrt{493} \approx 88.814413 \]
\[ \sqrt{7888} = \sqrt{16 \times 493} = 4\sqrt{493} \]
\[ \sqrt{7888} \approx 88.814413 \]

What is the square root of 7888?

The square root of 7888 is 88.814413 (rounded to 6 decimal places). In simplest radical form it is 4√493.

Is 7888 a perfect square?

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

What is 7888 squared?

7888 × 7888 = 62220544.

What is the square root of 7888 rounded to 2 decimals?

88.81.