Question

Compare the following pair of surds.
2 √5 & 3 √3​

Answer 1

Answer:

i. 7√2 , 5√3

(7√2)2 = 7 × 7 × √2 × √2

⇒ (7√2)2 = 49 × 2

⇒ (7√2)2 = 98

And

(5√3)2 = 5 × 5 × √3 × √3

⇒ (5√3)2 = 25 × 3

⇒ (5√3)2 = 75

Clearly,