Square root of 7434

The square root of 7434 is 86.220647 (rounded to 6 decimal places). In simplest radical form it is 3√826.

Square root of 7434

Pick any whole number from 1 to 10,000.

\sqrt{7434} = 3\sqrt{826} \approx 86.220647

How to work it out

1
The square root of 7434 is the number that multiplied by itself gives 7434.
2
7434 is between the perfect squares 86² = 7396 and 87² = 7569, so its square root is between 86 and 87.
3
Pull out the biggest square factor: 7434 = 9 × 826, so
$\sqrt{7434} = \sqrt{9 \times 826} = 3\sqrt{826}$
4
A calculator, or long division of digits, gives
$\sqrt{7434} \approx 86.220647$

LaTeX source of the formulas on this page

\[ \sqrt{7434} = 3\sqrt{826} \approx 86.220647 \]
\[ \sqrt{7434} = \sqrt{9 \times 826} = 3\sqrt{826} \]
\[ \sqrt{7434} \approx 86.220647 \]

What is the square root of 7434?

The square root of 7434 is 86.220647 (rounded to 6 decimal places). In simplest radical form it is 3√826.

Is 7434 a perfect square?

No. It lies between 86² = 7396 and 87² = 7569.

What is 7434 squared?

7434 × 7434 = 55264356.

What is the square root of 7434 rounded to 2 decimals?

86.22.