Question

compare the following pairs of surds 7√2 5√3
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Answer 1

Explanation:

1. 7√25√3 √4√4√5√5√4√

Answer 2

Explanation:

Here, the given numbers,

7√2 and 5√3,

For comparing the given surds,

Since, the square of 7√2 = (7√2)² = 98

And, the square of 5√3 = (5√3)² = 75

Since,  

98 > 7598>75

\implies (7\sqrt{2})^2 > (5\sqrt{3})^2⟹(72)2>(53)2

\implies 7\sqrt{2} > 5\sqrt{3}⟹72>53 ,

⇒ 7√2 is grater than 5√3.