Question

1. Find a and b 5+2√37+4√3 = a +b√3

Answer 1

Step-by-step explanation:

5+2√3/7+4√3

=5+2√3/7+4√3*(7-4√3/7-4√3)

=[(5+2√3)(7-4√3)] / 49-48

=5(7-4√3)+2√3(7-4√3)

=35-20√3+14√3-24

=11-6√3

=11+(-6)√3

Therfore, a=11 and b=(-6)

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Answer 2

Answer:

5+2√3/7+4√3

=5+2√3/7+4√3*(7-4√3/7-4√3)

=[(5+2√3)(7-4√3)] / 49-48

=5(7-4√3)+2√3(7-4√3)

=35-20√3+14√3-24

=11-6√3

=11+(-6)√3