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OpenStudy (anonymous):
simplify the expression
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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?
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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
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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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