Question

Find the square root of $729$ using prime factorisation method.

• A. 17
• B. 27
• C. 16
• D. 26

Answer 1

The correct option is B 27

Let's find square root of $729$ by prime factorisation method.

729 = 3×3×3×3×3×3×1

⇒ 729 = (3×3)×(3×3)×(3×3)

⇒ 729 = (3×3×3)×(3×3×3)

⇒ 729 = (3×3×3)²

Therefore,

⇒ <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\sqrt{729}$ = 3×3×3 = 27.