Question

Which of the following is equivalent to the product below? 2. 20 O A. 10.2 O B. 20/20 O C. 2110 O D. 2140

Answer 1

Given:

The expression is given as,

`\sqrt[]{2}\cdot\sqrt[]{20}`

The objective is to choose the equivalent product of the expression,

Step-by-step explanation:

The given expression can be written as,

`\sqrt[]{2}\cdot\sqrt[]{20}=\sqrt[]{2*20}=\sqrt[]{40}`

On further solving the above equation,

`\begin{gathered} \sqrt[]{40}=\sqrt[]{2*2*2*5} \\ =2\sqrt[]{2*5} \\ =2\sqrt[]{10} \end{gathered}`

Hence, option (C) is the correct answer.