(5 + 3 sqrt 7)^2?
回答 (7)
(5 + 3√7)²
=(5 + 3√7)(5 + 3√7)
= 5(5 + 3√7) +3√7(5 + 3√7)
= 25 + 15√7+15√7+9(7)
= 25 + 30√7 +63
= 88 + 30√7
=25+9(7)+2(5(3sqr7)=25+63+30sqr7
88+30sqr7
[ 5 + 3 √7 ] [ 5 + 3 √7 ]
25 + 30 √7 + 63 = 88 + 30 √7
= 88 + 30*sqrt(7)
= 88 + sqrt(6300)
=~ 167.37253933193771771504847260918
( 5 + 3 x 7^1/2 )^2 = 5^2 + 2x 5x3 x7^1/2 + 3^2 x7 since ( a + b )2 = a2 + 2ab+c2 ; where a = 5 and b= 3x7^1/2 ).
on simplifying we get 25 + 63 + 30x 7^1/2 = 88 + 30 x 7^1/2
(5 + 3 sqrt 7)^2
= 88 + 30 sqrt 7
= 2 (44 + 15 7^(1/2))
(5 + 3√7)^2
= 25 + 2(15√7) + 9(7)
= 25 + 30√7 + 63
= 88 + 30√7
收錄日期: 2021-04-23 23:48:47
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