计算:(1)(根号3+根号2)平方2010乘以(根号3-根号2)平方2011
问题描述:
计算:(1)(根号3+根号2)平方2010乘以(根号3-根号2)平方2011
(2)2倍根号3乘以(1/根号6+根号3/根号2)
答
(1)(根号3+根号2)平方2010乘以(根号3-根号2)平方2011
=[(√3+√2)(√3-√2)]^2010×(√3-√2)
=√3-√2
(2)2倍根号3乘以(1/根号6+根号3/根号2)
=2√3(√6/6+√6/2)
=2√3 ×2√6/3
=4√2