Question

Find a customer09 Mail - KemelineLoui...NICE Home-15 Executive Office of.Member Confidentiality Stat. Adapt Web Service...New TabMoodle - BunkMultiply and simplify the result.V9xy. 25xStep 1 of 2Apply the product rule for square roots to get a product.The product rule for square roots says that the square root of the product of two nonnegative numbers isequal to the product of their square roots and vice versa.That is, for any nonnegative real numbers a and b, vabava. V, or alternatively,Vo = va.b.Apply this rule to the given expression. Remember that when multiplying powers with same base, you add theexponents9xy. V 25x = y 9xy= V(9))(xx)(y))(x1.x')

Answer 1

Let's write out the term given,

`\sqrt[]{9xy}\text{ }\cdot\sqrt[]{25x}`

Let us find the solution to the term,

`\begin{gathered} \sqrt[]{9xy}\text{ }\cdot\sqrt[]{25x}\text{ = }\sqrt[]{9xy(25)x} \\ =\sqrt[]{9(25)(x\cdot x)(y)} \end{gathered}`
`\begin{gathered} =\sqrt[]{(9*25)(x^1\cdot x^1)(y)} \\ =\sqrt[]{(225)x^(1+1)(y)}\text{ = }\sqrt[]{(225)x^2y} \end{gathered}`