Question

Simplify: 2 √6+ (3
+ √3) (5-√2)​

Answer 1

Answer:

(5-√2)(√3+3)

Step-by-step explanation:

2√6 + (3+√3)(5-√2)

By distributive law,

= 2√6 + 3(5-√2) + √3(5-√2)

= 2√6 + 15 - 3√2 + 5√3 - √6

Rearranging the terms,

= 2√6 - √6 - 3√2 + 5√3 + 15

= -√6 - 3√2 + 5√3 + 15

= -√2 (√3+3) + 5 (√3+3)

       We know,

         a(c+d) + b (c+d) = (a+b)(c+d)

= (-√2+5)(√3+3)

= (5-√2)(√3+3)