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Mathematics 14 Online
OpenStudy (anonymous):

HELP!!! Which of these expressions are equivalent to 11sqrt(245x^3)+9sqrt(45x^3)? A.) 5xsqrt(104x) B.) 20sqrt(290x^6) C.) 20xsqrt(290x) D.) 104xsqrt(5x)

OpenStudy (anonymous):

Hey if anyone can help me I'd really appreciate it.

OpenStudy (anonymous):

Please someone respond. I really need help with this answer.

OpenStudy (ivettef365):

you have 11 sqrt(245x^3) that is equalt to 11 sqrt(49.5x^3)

OpenStudy (ivettef365):

and 9 sqrt (45x^3) that is equal to 9 sqrt(9.5x^3)

OpenStudy (ivettef365):

what is the sqrt(49)

OpenStudy (anonymous):

7

OpenStudy (ivettef365):

good, and what is the sqrt(x^3)

OpenStudy (anonymous):

ummm.....

OpenStudy (ivettef365):

that is the same as sqrt (x.x.x), so as long as you have a pair you can pull one out for example you said that sqrt(49) was 7, because that is sqrt(7.7), it is a pair

OpenStudy (ivettef365):

so sqrt(x^3) you can pull out one x and one stays inside, because it has no pair, only one have a pair, so sqrt(x^3) = xsqrt(x)

OpenStudy (ivettef365):

do you understand the explanation ??

OpenStudy (anonymous):

okay. i understand you so far.

OpenStudy (ivettef365):

so you have 11(7)xsqrt(5x) + 9sqrt(45x^3)

OpenStudy (ivettef365):

now we work on the other sqrt we have 9sqrt(9.5.x.x.x), so what do you take outside?

OpenStudy (anonymous):

3

OpenStudy (ivettef365):

good 3 and what else

OpenStudy (anonymous):

not sure

OpenStudy (ivettef365):

what about the x

OpenStudy (anonymous):

one x

OpenStudy (ivettef365):

so you have 11(7)xsqrt(5x) + 9(3)x sqrt(5x)

OpenStudy (ivettef365):

can you take it from there ??

OpenStudy (anonymous):

don't you just add everything up by now

OpenStudy (ivettef365):

first multiply 11x7 and 9x3 then add

OpenStudy (anonymous):

104

OpenStudy (ivettef365):

correct so you have 104xsqrt(5x)

OpenStudy (anonymous):

okay thanks so much. BTW I just became a fan. Your Welcome

OpenStudy (ivettef365):

thanks, and yw :)

OpenStudy (anonymous):

okay thanks so much. BTW I just became a fan. Your Welcome

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