(-8Sqr40t to the 5th)(5Sqr3t) Help!!!!

Question

harsimran_hs4 · Answer

@inge can you rewrite the expression using equation generator

anonymous · Answer

$$\left( -8\sqrt{40t ^{5}} \right)\left( 5\sqrt{15t} \right)$$

harsimran_hs4 · Answer

so -8sqrt(40*t^5) * (5sqrt(15t))
rewriting...
(-8*5) (sqrt(40) * sqrt(15)) *( sqrt(t^5)*sqrt(t))
clear with the above step ?

anonymous · Answer

Ok, I get it, each one is placed seperately.

harsimran_hs4 · Answer

ya just regrouping of terms
so (8*5) = 40
and sqrt(40)*sqrt(15) = sqrt(40 * 15) = sqrt(600) 
and sqrt(t^5*t) = sqrt(t^6) = (t^6)^(1/2) = t^(6/2) = t^3
clear?

anonymous · Answer

Ok I follow...

harsimran_hs4 · Answer

so the expression becomes
40 * sqrt(600) * t^3
sqrt(600) = sqrt(2^3 * 3 * 5^2) = 2*5 sqrt(2*3) = 10sqrt(6)

so finally 
40* 10sqrt(6)t^3 = 400sqrt(6)t^3

anonymous · Answer

Thank you so much!!

harsimran_hs4 · Answer

Welcome!!