Question

Find square root using prime factorisation method in 324 and 3136

Answer 1

Answer:

$\sqrt{324}$ = 18

$\sqrt{3136}$ = 56

Step-by-step explanation:

$\sqrt{324}$

⇒ $\sqrt{2 * 2 * 3 * 3 * 3 * 3}$

⇒ $\sqrt{(2 * 2) (3 * 3) (3 * 3)}$

⇒ 2 × 3 × 3

⇒ 18

$\sqrt{3136}$

⇒ $\sqrt{2 * 2 * 2 * 2 * 2 * 2 * 7 * 7}$

⇒ $\sqrt{(2 * 2) (2 * 2) (2 * 2) (7 * 7)}$

⇒ 2 × 2 × 2 × 7

⇒ 56