Question

how to find the the square root of 729 in prime factor method.

Answer 1

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Answer 2

The $\sqrt{729}$ in prime factor method = 27

Step-by-step explanation:

We have,

729

To find, the $\sqrt{729}$ in prime factor method = ?

∴ $\sqrt{729}$

$\sqrt{3\times 243}$

$\sqrt{3\times 3\times 81}$

$\sqrt{3\times 3\times 3 \times 27}$

$\sqrt{3\times 3\times 3 \times 3 \times 9}$

$\sqrt{3\times 3\times 3 \times 3 \times 3 \times 3}$

$=3\times 3\times 3$

= 27

∴ The $\sqrt{729}$in prime factor method = 27

Hence, the $\sqrt{729}$ in prime factor method = 27