Square root of 7008

The square root of 7008 is 83.713798 (rounded to 6 decimal places). In simplest radical form it is 4√438.

Square root of 7008

Pick any whole number from 1 to 10,000.

\sqrt{7008} = 4\sqrt{438} \approx 83.713798

How to work it out

1
The square root of 7008 is the number that multiplied by itself gives 7008.
2
7008 is between the perfect squares 83² = 6889 and 84² = 7056, so its square root is between 83 and 84.
3
Pull out the biggest square factor: 7008 = 16 × 438, so
$\sqrt{7008} = \sqrt{16 \times 438} = 4\sqrt{438}$
4
A calculator, or long division of digits, gives
$\sqrt{7008} \approx 83.713798$

LaTeX source of the formulas on this page

\[ \sqrt{7008} = 4\sqrt{438} \approx 83.713798 \]
\[ \sqrt{7008} = \sqrt{16 \times 438} = 4\sqrt{438} \]
\[ \sqrt{7008} \approx 83.713798 \]

What is the square root of 7008?

The square root of 7008 is 83.713798 (rounded to 6 decimal places). In simplest radical form it is 4√438.

Is 7008 a perfect square?

No. It lies between 83² = 6889 and 84² = 7056.

What is 7008 squared?

7008 × 7008 = 49112064.

What is the square root of 7008 rounded to 2 decimals?

83.71.