Question

compare the following pair
5/4 , √3/√2​

Answer 1

Answer: 7√2 is grater than 5√3.

Step-by-step 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.

Answer 2

Step-by-step explanation:

SOLUTION

Sum of digits of number N = 22

Sum of digits of number N + 4 = 5

Case I :- If last digit N ∈ [0,5]

Then,

S = 26.

Case II :- If last digit of N ∉ [0,5]

Then,

S = 17 sum of distinct possible values of S = 26 + 17 = 43.