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OpenStudy (anonymous):
What have you got so far?
\[a\sqrt{b} \times c\sqrt{d}= a*c\sqrt{b*d}\]
jhonyy9 (jhonyy9):
16sqrt(11*22)
OpenStudy (anonymous):
okay i no you suppose to multiply the outside with the out and the inside with the inside okay when i did that i got 14(sqrt)242 and i think thats wrong
OpenStudy (anonymous):
wait 16
OpenStudy (anonymous):
16(sqrt)242 is right.
now we need to simplify the sqrt
what are factors of 242?
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OpenStudy (anonymous):
11 (times)22
OpenStudy (anonymous):
yes what else? 11 and 22 can't be written as a^2
OpenStudy (anonymous):
what can we write 22 as instead?
OpenStudy (anonymous):
2 (times) 11
OpenStudy (anonymous):
good so 242=2*11*11
now what will your answer be?
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OpenStudy (anonymous):
i wanna say\[8\sqrt{11}\]
OpenStudy (anonymous):
okay so we have \[16\sqrt{242}=16\sqrt{11}\sqrt{11}\sqrt{2}\]\[=16*11\sqrt{2}\]\[=176\sqrt{2}\]
OpenStudy (anonymous):
\[\sqrt{a}*\sqrt{a}=a\]
OpenStudy (anonymous):
ohh okay 16 (times)11 and what every is in the (sqrt) you just combine it
OpenStudy (anonymous):
correct
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OpenStudy (anonymous):
okay thank you ima try the next problem and see what i get