【解説】 ■ √の中が同じ数字のものの和や差は,文字式の計算と同じように係数をまとめることができます. ![]() ![]() ![]() ![]() x+3x=4x と同様にして ![]() ![]() ![]() とします. ![]() 7 ![]() ![]() ![]() 7a−2a=5a と同様にして 7 ![]() ![]() ![]() とします. ■ √の中が「同じにならないもの」の和や差は,それ以上簡単になりません. 注意:見かけが同じでなくても,変形の結果√の中が同じになるものは簡単になります.例えば√8+√2は2√2+√2で3√2になります.
【気をつけよう甘い誘惑=破滅の道】
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【問題】
次の数を変形して,なるべく簡単にすると右のうちどの値になりますか.下の選択肢から選びなさい. (√がない形にするか,または,√の中をなるべく簡単な整数にしなさい.) ![]() ![]() 2 3 4 5 6 7 8 9 |
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