If 1/{√3+x + √1+x} dx; x ∈ [0, 1] = a + b√2 + c√3. Then (a - 3b - 4c) is equal to

Question

If \(\int\limits_0^1 \frac 1{\sqrt {3 + x} + \sqrt {1+ x}} dx = a + b\sqrt 2 + c\sqrt 3\). Then (a - 3b - 4c) is equal to

(1) 7

(2) 9

(3) 8

(4) 10

Answer 1

Correct option is (2) 9