Math help please????

Question

Sqrt(12e^(-3t^2))

Answer 1

sqrt(x) = x^(/12)

using this (12e^(-3t^2))^(1/2)

using (ab)^n = a^n b^n we get

12^(1/2)(e^(-3t^2))^(1/2)

now 12^(1/2) = (3*4)^(1/2) = 3^(1/2). 2 as 2^2 = 4 so 4^(1/2) =2

(e^(-3t^2))^(1/2) using (a^b)^c = a^(bc)
we get = e^(-3t^2/2)

so we get 2*3^(1/2)e^(-3t^2/2)

Answer 2

Sqrt(12e^(-3t^2))
=sqrt(12) e^{(-3/2) t^2}

Answer 3

= sqrt(12)*sqrt(e^-3t/2)
sqrt is like an exponent of 1/2, so divide the exponent of the exp factor by 2:
=sqrt(12)*e-(3t^2)/2
sqrt(12) = sqrt(3)*sqrt(4), and of course, sqrt(4) = 2
= 2sqrt(3)*sqrt(e^(-3t^2)/2)
no further simplification is possible...I've added extra ()s for clarity...
note (ab)^c = (a^c)*(b^c)

Answer 4

take my advice, dont bother doin these problems by hand (unless u have to). just take ur ti-83 and type this in the y= and put t as x and look for the x intercepts. it too frekin late to do this problem by hand

Answer 5

Please use calculator!