(4√3-2√2) (3√2+4√3)
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Answer:
[1] = (4√3) / (2-√2) = (4√3)(2+√2) / (2-√2)(2+√2)
= (8√3+4√6) /2
= 4√3+2√6 …………………(1)
[2]= 30 / (4√3-√18)
= 30*(4√3+√18) /(4√3-√18)(4√3+√18)
=( 120√3 +30√18) /(48–18)
= 30(4√3+√18) /30
= 4√3 + 3√2 ………………(2)
[3]= √18 / (3–2√3)
= √18(3+2√3) / (3–2√3) (3+2√3)
= (3√18+2√54) /9–12
= (9√2 + 6√6) /-3
= -3√2 -2√6 ………………(3)
Now by combining all 3 terms:
(4√3+2√6) — (4√3+3√2) — ( -3√2 -2√6)
= 4√3+2√6–4√3–3√2+3√2+2√6
= 2√6 + 2√6
= 4√6 ………….ANS
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