Answer:d
Step-by-step explanation:(2√7 +3√6) (5√2 +4√3)
To open the bracket, multiply the first rational number (2√7 ) with the two numbers in the other bracket and 3√6 with the other numbers in the other brackets.
2√7(5√2+4√3) + 3√6(5√2+4√3)
Multiply number with number and root with root
10√14 +8√21+15√12+12√18
Then look for the roots which have a perfect number and can be broken down. There is 12 and 18 which have perfect numbers.
10√14 +8√21+(15√4 x√3) +(12√9 x √2)
10√14 +8√21 +15 x 2 x√3 +12 x 3 x √2
10√14+8√21+30√3 +36√2 ans