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# (1+5^1/2)(1-5^1/2)=

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(1+\sqrt{5})(1-\sqrt{5})=

(A) -4
(B) 2
(C) 6
(D) -4-2\sqrt{5}
(E) 6-2\sqrt{5}

Sol: We know a^2-b^2= (a-b)(a+b).

Therefore the above can be re-written as (1^2-\sqrt{5}^2)------>(1-5)= -4 Ans A
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We need to find the value of $$(1+\sqrt{5})(1-\sqrt{5})$$

Given expression is of the form (a+b)*(a+b) and we know that

(a+b)*(a+b) = $$a^2 - b^2$$

=> $$(1+\sqrt{5})(1-\sqrt{5})$$ = $$1^2 - \sqrt{5}^2$$ = 1 - 5 = -4