If $$a×b=a+b+\lparen\sqrt\frac{a}{b}\rparen+\sqrt{(ab)}$$​, then what will be the value of 16 × 4?

Correct option is C

Given:

​$$a \times b = a + b + \sqrt{\frac{a}{b}} + \sqrt{ab}$$​​

We need to find the value of 16 × 4

Solution:
Substitute a = 16, b = 4 into the given expression.

​$$6 \times 4 = 16 + 4 + \sqrt{\frac{16}{4}} + \sqrt{16 \times 4} = 20 + \sqrt{4} + \sqrt{64}=20 + 2 + 8 = 30$$​