Which expression is equivalent to sq root of 2x^5/18? Assume x is greater than 0

√(2x^5 / 18) = √2x^5  /   √18 = √2x^5 / √9*2 = √2x^5 /  3√2 = √x^5 / 3

The square root of x^5 over the number 3 is an equivalent of the initial expression.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!