Square root of 9438

The square root of 9438 is 97.14937 (rounded to 6 decimal places). In simplest radical form it is 11√78.

Square root of 9438

Pick any whole number from 1 to 10,000.

\sqrt{9438} = 11\sqrt{78} \approx 97.14937

How to work it out

1
The square root of 9438 is the number that multiplied by itself gives 9438.
2
9438 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: 9438 = 121 × 78, so
$\sqrt{9438} = \sqrt{121 \times 78} = 11\sqrt{78}$
4
A calculator, or long division of digits, gives
$\sqrt{9438} \approx 97.14937$

LaTeX source of the formulas on this page

\[ \sqrt{9438} = 11\sqrt{78} \approx 97.14937 \]
\[ \sqrt{9438} = \sqrt{121 \times 78} = 11\sqrt{78} \]
\[ \sqrt{9438} \approx 97.14937 \]

What is the square root of 9438?

The square root of 9438 is 97.14937 (rounded to 6 decimal places). In simplest radical form it is 11√78.

Is 9438 a perfect square?

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

What is 9438 squared?

9438 × 9438 = 89075844.

What is the square root of 9438 rounded to 2 decimals?

97.15.