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OpenStudy (ashy98):
Can someone help me??(:
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OpenStudy (ashy98):
\[What is product of 5\sqrt{3}\times 4 \sqrt{15}? simplify if possible.\]
\[A.) 60\sqrt{15}\]
\[B.) 20\sqrt{5}\]
\[C.) 20\sqrt{15}\]
\[D.) 60\sqrt{5}\]
OpenStudy (ashy98):
@Teddyiswatshecallsme @amistre64 @KyanTheDoodle
OpenStudy (amistre64):
what have you attemoted?
OpenStudy (amistre64):
**attempted
OpenStudy (ashy98):
c? but im really not sure
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OpenStudy (amistre64):
C is like totally not it
OpenStudy (amistre64):
sqrt(a) * sqrt(b) = sqrt(ab)
OpenStudy (amistre64):
so
even tho 5*4 = 20, 3*15 isnt 15
OpenStudy (ashy98):
so it would be B?
OpenStudy (amistre64):
if 3*15 isnt 15, then it sure isnt goinna be 5
it aint B
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OpenStudy (amistre64):
5*4 = 20
sqrt(3)*sqrt(15) = sqrt(???)
OpenStudy (ashy98):
45
OpenStudy (amistre64):
good
so the solution is some simplified version of
20 sqrt(45)
can sqrt(45) be simplified? any perfect square factors in 45?
OpenStudy (amistre64):
maybe 9*5 = 45?
OpenStudy (amistre64):
20 sqrt(45)
20 sqrt(9*5)
20 sqrt(9) sqrt(5)
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OpenStudy (ashy98):
so that would be D?
OpenStudy (amistre64):
60 sqrt(5)
yes :)
OpenStudy (ashy98):
yay thank you for helping me!(:
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