Question

Enter the values for the variables that give the correct simplified expressions, x = ≥ 0.

StartRoot 50 x squared EndRoot = StartRoot 25 times 2 times x squared EndRoot = 5 x StartRoot b EndRoot
b =

StartRoot 32 x EndRoot = StartRoot 16 times 2 times x EndRoot = c StartRoot 2 x EndRoot
c =

StartRoot 18 n EndRoot = StartRoot 9 times 2 times n EndRoot = e StartRoot 2 n EndRoot
e =

StartRoot 72 x squared EndRoot = StartRoot 36 times 2 times x squared EndRoot = g x StartRoot 2 EndRoot
g =

Answer 1

b = 2
c = 4
e = 3
g = 6

(Reason: with x ≥ 0, √(25·2·x²) = 5x√2, √(16·2·x) = 4√(2x), √(9·2·n) = 3√(2n), √(36·2·x²) = 6x√2.)