已知a+b=√(√2007+√2006),a-b=√(√2007-√2006)求:(a*b)^2的值

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已知a+b=√(√2007+√2006),a-b=√(√2007-√2006)求:(a*b)^2的值

已知a+b=√(√2007+√2006),a-b=√(√2007-√2006)求:(a*b)^2的值
已知a+b=√(√2007+√2006),a-b=√(√2007-√2006)求:(a*b)^2的值

已知a+b=√(√2007+√2006),a-b=√(√2007-√2006)求:(a*b)^2的值
(a+b)^2-(a-b)^2=(√2007+√2006)-(√2007-√2006)
即4a*b=2√2006
a*b=(1/2)*√2006
平方(a*b)^2=2006/4=1003/2
即为所求

(a+b)^2-(a-b)^2=4a*b
=(√2007+√2006)-(√2007-√2006)
=2√2006
4a*b=2√2006
a*b=(1/2)*√2006
(a*b)^2=1003/2

(a+b)^2-(a-b)^2=(√2007+√2006)-(√2007-√2006)
4a*b=2√2006
a*b=√2006/2
(a*b)^2=2006/4=1003/2