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Mathematics 23 Online
OpenStudy (anonymous):

simplify the expression

OpenStudy (anonymous):

\[(6-\sqrt{11})(\sqrt{6+7)}\]

OpenStudy (jdoe0001):

\(\bf (6-\sqrt{11})(\sqrt{6+7})\\ (\sqrt{6+7} \times 6) -(\sqrt{6+7} \times \sqrt{11})\) keep in mind that 6+7 = 11

OpenStudy (jdoe0001):

same roots, multiply their content

OpenStudy (anonymous):

is the answer\[36+\sqrt{11}\]

OpenStudy (anonymous):

no?

OpenStudy (jdoe0001):

\(\bf (6-\sqrt{11})(\sqrt{6+7})\\ (\sqrt{6+7} \times 6) -(\sqrt{6+7} \times \sqrt{11})\\ (\sqrt{11} \times 6) -(\sqrt{11} \times \sqrt{11})\\ 6\sqrt{11}-(\sqrt{11})^2 \implies 6\sqrt{11}-11 \)

OpenStudy (jdoe0001):

\(\bf (\sqrt{11} \times \sqrt{11}) \implies \sqrt{11^2} \implies 11\)

OpenStudy (jdoe0001):

wait what the heck... 6+7 = 13 :(

OpenStudy (jdoe0001):

hehehe, so much for that hehe

OpenStudy (jdoe0001):

lemme redo that quick

OpenStudy (anonymous):

lol ok

OpenStudy (anonymous):

i didnt realize it was wrong neither lol so ur not alone

OpenStudy (jdoe0001):

\(\bf (6-\sqrt{11})(\sqrt{6+7})\\ (\sqrt{6+7} \times 6) -(\sqrt{6+7} \times \sqrt{11})\\ (\sqrt{13} \times 6) -(\sqrt{13} \times \sqrt{11})\\ 6\sqrt{13} - \sqrt{13 \times 11}\)

OpenStudy (jdoe0001):

\(6\sqrt{13} - \sqrt{13 \times 11} \implies 6\sqrt{13} - \sqrt{143}\)

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