Write a radical in which the radicand consists of a coefficient and a variable. Use a coefficient that can be simplified best using the greatest perfect square method. Then, simplify the radical completely. You can use "sqrt()" to show a square root. For example, 7 times the square root of a can be written as 7sqrt(a).
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jimthompson5910 (jim_thompson5910):
did you manage to get anywhere with this?
OpenStudy (anonymous):
yes thank you
OpenStudy (anonymous):
I made this \[\sqrt{18x}\] now after this I don't know what to do
jimthompson5910 (jim_thompson5910):
ok good start
OpenStudy (anonymous):
what do I do next
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jimthompson5910 (jim_thompson5910):
can you factor 18 in such a way where one of the factors is a perfect square?
OpenStudy (anonymous):
yeahh 3
OpenStudy (anonymous):
that make 9*2=18
jimthompson5910 (jim_thompson5910):
good, 18 = 9*2
this means that
\[\large \sqrt{18a} = \sqrt{9*2a}\]
\[\large \sqrt{18a} = \sqrt{9}*\sqrt{2a}\]
\[\large \sqrt{18a} = 3\sqrt{2a}\]
OpenStudy (anonymous):
thnk u
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