有理化2
Date: 5 １月 2014

根号を含む分数の分母を有理化しましょう．

分母を有理化しましょう．
約分できるところは約分してください．

正解を表示

新しい問題

blist: {2, 3, 5, 6, 7, 10, 14, 15}
cc: floor(random() * 8 + 1)
mode = 0
d: floor(random() * 2) * 2 - 1
ax: floor(random() * 7 + 1)
bx: floor(random() * (ax - 1))
aa = Element(blist, ax + 1)
bb = Element(blist, bx + 1)
text2: "\frac{" + (LaTeX[cc]) + "}{\sqrt{" + (LaTeX[aa]) + "}+\sqrt{" + (LaTeX[bb]) + "}}"
text3: "\frac{ " + (LaTeX[cc]) + "}{\sqrt{ " + (LaTeX[aa]) + "}-\sqrt{" + (LaTeX[bb]) + " }}"
g = GCD(cc, aa - bb)
a: (aa - bb) / g
c: cc / g
text4: "答\quad \frac{" + (LaTeX[c]) + "(\sqrt{" + (LaTeX[aa]) + "}-\sqrt{" + (LaTeX[bb]) + "})}{" + (LaTeX[a]) + "}"
text5: "答\quad \frac{ " + (LaTeX[c]) + "(\sqrt{" + (LaTeX[aa]) + " }+\sqrt{" + (LaTeX[bb]) + " })}{ " + (LaTeX[a]) + "}"
text6: "答\quad \frac{ \sqrt{ " + (LaTeX[aa]) + "}-\sqrt{ " + (LaTeX[bb]) + "}}{ " + (LaTeX[a]) + "}"
text7: "答\quad \frac{ \sqrt{ " + (LaTeX[aa]) + " }+\sqrt{" + (LaTeX[bb]) + "  }}{  " + (LaTeX[a]) + "}"
text8: "答\quad " + (LaTeX[c]) + "( \sqrt{ " + (LaTeX[aa]) + " }-\sqrt{ " + (LaTeX[bb]) + " })"
text9: "答\quad  " + (LaTeX[c]) + "( \sqrt{  " + (LaTeX[aa]) + " }+\sqrt{  " + (LaTeX[bb]) + " })"
text10: "答\quad  \sqrt{" + (LaTeX[aa]) + "}-\sqrt{" + (LaTeX[bb]) + "}"
text11: "答\quad \sqrt{" + (LaTeX[aa]) + "}+\sqrt{" + (LaTeX[bb]) + "}"