Question

compare 6√25 and 3√6​

Answer 1

Answer:

6√25 and 3√6  

 

(6√2)² = 6 × 6 × √2 × √2

⇒ (6√2)² = 36 × 2

⇒ (7√2)2 = 72

And  

(3√6)² = 3 × 3 × √6 × √6

⇒ (3√6)² = 9 × 6

⇒ (3√6)² = 54

Clearly,

72 > 54

∴ 6√25 > 3√6  

Therefore, 6√25 > 3√6.