化解(根号23-6倍根号10+4倍根号3-2倍根号2)

2024-12-17 18:46:37
推荐回答(1个)
回答1:

√(23+6√10)+4√(3-2√2)
=√[(√5)²+2×√5×3√2+(2√3)²]+4√[(√2)²-2√2+1]
=√(√5+3√2)²+4√(√2-1)²
=(√5+3√2)+4×(√2-1)
=√5+3√2+4√2-4
=√5+7√2-4