(根号32+根号0.5-2根号1⼀3)-(根号1⼀8-根号48)

2025-12-25 06:06:39
推荐回答(1个)
回答1:

(根号32+根号0.5-2根号1/3)-(根号1/8-根号48)
={√32 + √0.5 - 2√(1/3)} - {√(1/8) - √48)}
= (√32+ 1/√2 - 2 /√3) - (1/√8- √48)
= (4√2+ √2/2 - 2 √3/3)- (√2/4- 4√3)
= 4√2+ √2/2 - 2 √3/3 - √2/4 + 4√3
= √2(4+ 1/2 - 1/4) + √3(-2 /3+ 4)
= 17√2/4 + 10√3/3