一條maths問題：化簡3 + 2√2 + 1/3 +2√2

有理化 (rationalize)？Then I guess you're writing (3 + 2√2) + 1/ (3 +2√2).

(3 + 2√2) + 1/(3 +2√2)
= (3 + 2√2) + (3 - 2√2) / [(3 +2√2) • (3 - 2√2)]
= (3 + 2√2) + (3 - 2√2) / [(3) ^2 - (2√2) ^2]
= (3 + 2√2) + (3 - 2√2) / [9 - 8]
= (3 + 2√2) + (3 - 2√2)
= 6.

化簡 (1) : 3 + 2√2 + 1/3 +2√2
= 3 + 1 / 3 + 4√2
= 10 / 3 + 4√2

化簡 (2) : (3 + 2√2) + 1/ (3 +2√2).
=( 3 + 2√2 +1) / (3 +2√2)
= (4 + 2√2) / (3 +2√2)
= (4 + 2√2)( 3 - 2√2 ) / (3 +2√2)( 3 - 2√2 )
=( 12 - 8√2 + 6√2 - 8 ) / ( 9 - 8)
= ( 4 - 2√2 ) / 1
= 4 - 2√2

(3 + 2√2) + 1/ (3 +2√2).
=(3 + 2√2) * (3 + 2√2) + (3 + 2√2) / (3 + 2√2)
= 3 * 3 + 2 * 3 * 2√2 + 4 * 2 + 1
= 18 + 12√2

3 + 2√2 + 1/3 +2√2
=(3+1/3)+(2+2√2 )
=10/3+4√2
=(10+12√2)/3

3 + 2√2 + 1/3 +2√2
=(3+1/3)+(2+2√2 )
=10/3+4√2
個answer計完出來，唔使有理化，因為分母冇√

不可能有理化
因為3 + 2√2 + 1/3 +2√2 = 10/3 +4√2