Question

分母有理化 (5＋√6＋√10＋√15)/( √2＋√3＋√5)

Answer 1

(5＋√6＋√10＋√15)/( √2＋√3＋√5)

=【√6＋√5（√2＋√3+√5）】/( √2＋√3＋√5)

=√6/( √2＋√3＋√5)+√5

=√6×( √2＋√3-√5)/【( √2＋√3＋√5)√6/( √2＋√3-√5)】+√5

=√6( √2＋√3-√5)/（2+2√6+3-5）+√5

=√6( √2＋√3-√5)/2√6+√5

=( √2＋√3-√5)/2+√5

=( √2＋√3＋√5)/2