Simplify the following expression: (3+sqrt{5} | vedclass

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(A) To simplify the expression $(3+\sqrt{5})(4-\sqrt{11})$,we use the distributive property of multiplication over addition ($FOIL$ method):$(3+\sqrt{

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$12-3\sqrt{11}+4\sqrt{5}-\sqrt{55}$

Vedclass · Answer

(A) To simplify the expression $(3+\sqrt{5})(4-\sqrt{11})$,we use the distributive property of multiplication over addition ($FOIL$ method):$(3+\sqrt{5})(4-\sqrt{11}) = 3(4-\sqrt{11}) + \sqrt{5}(4-\sqrt{11})$$= (3 	imes 4) - (3 	imes \sqrt{11}) + (\sqrt{5} 	imes 4) - (\sqrt{5} 	imes \sqrt{11})$$= 12 - 3\sqrt{11} + 4\sqrt{5} - \sqrt{5 	imes 11}$$= 12 - 3\sqrt{11} + 4\sqrt{5} - \sqrt{55}$

Simplify the following expression: $(3+\sqrt{5})(4-\sqrt{11})$

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