Question

if ✓a>✓b>✓c>✓d where a,b,c,d are consecutive natural numbers then which of the following is correct with solution
a} ✓a-✓b>✓c-✓d
b}✓c-✓d>✓a-✓b
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Answer 1

let root of 4 and 3,2,1 as they are consecutive natural number

now by taking root of all we get 2, >1.732>1.414>1

now b is satisfying condition....

Answer 2

Given a,b,c,d are consecutive numders and ✓a>✓b>✓c>✓d.

=a>b>c>d

Let, the numbers be 1,2,3,4

a=4 b=3 c=2 d=1

✓a=2 ✓b=1.71 ✓c=1.41 ✓d=1

lets go option wise,

a) ✓a-✓b>✓c-✓d

= 2-1.71 > 1.41-1

= 0.29 > 0.41

Thus, option (a) is wrong

b)✓c-✓d>✓a-✓b

= 1.41 - 1 > 2-1.71

= 0.41 > 0.29

Thus, option (b) is correct