5+2\sqrt{3/7+4√(3)\\= a-6√(3) find value of a

Question

5+2
`\sqrt{3`/7+4
`√(3)\\`= a-6
`√(3)`
find value of a

Answer 1

Hello!

5 + 2√(3/7) + 4√3 = a - 6√3

5 + 2√(3/7) = a - 6√3 - 4√3

5 + 2√(3/7) = a - 10√3

a = 10√3 + 5 + 2√(3/7)

a = 10√3 + 5 + (2√21)/7