Question

Find out the value of A and B if
3/4 root5-root3+2/4root5+root3=A root 5+b root 3

Answer 1

The hard part of this one is reading the question. I'm going to assume those root 5s are in the numerators.

`\frac 3 4 √(5) - √(3) + \frac 2 4 √(5) + √(3) = A √(5) + B√(3)`

Two fourths? Really? OK.

`\frac 3 4 √(5) - √(3) + \frac 2 4 √(5) + √(3)`

`=(\frac 3 4 + \frac 2 4)√(5) + (-1 + 1)√(3)`

`=\frac 5 4 √(5)`

Answer: A=5/4, B=0