Question

Find the product of 3v 12 and 4V 12 in simplest form. Also, determine whether theresult is rational or irrational and explain your answer.

Answer 1

Find the product of

`3\sqrt[]{12}\cdot4\sqrt[]{12}`

steps.

1. apply the laws of exponents

`\begin{gathered} √(a)√(a)=a \\ \end{gathered}`
`√(12)√(12)=12`
`=3\cdot\: 12\cdot\: 4`

2. multiply

`=144`

this is a rational number because it can be represented as 144/1 which is a fraction of two integers