Question

Simplify the expression below and leave your expression in exact form with coefficient a and radicand b so we have : a\sqrt[]{b} . Keep in mind that the coefficient a can be a product of a number and a variable.(4y^3)^{1/2}Our coefficient a = AnswerOur radicand b = Answer

Answer 1

Recall, 45 = 3 x 3 x 5 = 3^2 x 5

The expression would be

`\begin{gathered} 15\sqrt[]{5}\text{ + 7}*\sqrt[]{3^2}\text{ }*\text{ }\sqrt[]{5} \\ =\text{ 15}\sqrt[]{5}\text{ + 7 }*3*\sqrt[]{5} \\ =\text{ 15}\sqrt[]{5}\text{ + 21}\sqrt[]{5} \\ =\text{ 36}\sqrt[]{5} \end{gathered}`

Thus,

a = 36

b = 5