Question

Write in ascending order : 6√5, 7√3, and 8√2

Answer 1

6√5 = `sqrt(6^2 xx 5) = sqrt180`

7√3 = `sqrt(7^2 xx 3) = sqrt147`

8√2 = `sqrt(8^2 xx 2) = sqrt128`

and 128 < 147 < 180

∴ √128 < √147 < √180

⇒ 8√2 < 7√3 < 6√5