Find integers m and n such that (11 + 230) = m + n. Expand out (a)

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Find integers m and n such that √(11 + 2√30) = √m + √n. Expand out (a) and (b) and rationalize (c) to (e).

(a) (3√2 – 2√3)2

(b) (√5 + 7√3)(2√5 – 3√3)

(c) (d) (e) 4 + 32 5 + 2 3+ 2 2-3 1 1 + 2 - 3

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