Square root of 9477

The square root of 9477 is 97.349884 (rounded to 6 decimal places). In simplest radical form it is 27√13.

Square root of 9477

Pick any whole number from 1 to 10,000.

\sqrt{9477} = 27\sqrt{13} \approx 97.349884

How to work it out

1
The square root of 9477 is the number that multiplied by itself gives 9477.
2
9477 is between the perfect squares 97² = 9409 and 98² = 9604, so its square root is between 97 and 98.
3
Pull out the biggest square factor: 9477 = 729 × 13, so
$\sqrt{9477} = \sqrt{729 \times 13} = 27\sqrt{13}$
4
A calculator, or long division of digits, gives
$\sqrt{9477} \approx 97.349884$

LaTeX source of the formulas on this page

\[ \sqrt{9477} = 27\sqrt{13} \approx 97.349884 \]
\[ \sqrt{9477} = \sqrt{729 \times 13} = 27\sqrt{13} \]
\[ \sqrt{9477} \approx 97.349884 \]

What is the square root of 9477?

The square root of 9477 is 97.349884 (rounded to 6 decimal places). In simplest radical form it is 27√13.

Is 9477 a perfect square?

No. It lies between 97² = 9409 and 98² = 9604.

What is 9477 squared?

9477 × 9477 = 89813529.

What is the square root of 9477 rounded to 2 decimals?

97.35.