Given that (√3-5√2)(√3+2)=a+b√6. Find a and b. Show workings bit by bit using surd method

Answer 1

To solve this problem, we will simplify the expression (√3-5√2)(√3+2) step by step using the surd method.

First, we will apply the difference of squares formula:

(√3-5√2)(√3+2) = (√3)^2 - (5√2)^2

Simplifying further:

= 3 - 25(2)

= 3 - 50

= -47

Therefore, a = -47 and b = 0 since there is no √6 term in the simplified expression.