Answered

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

Sagot :

Find the product of

[tex]3\sqrt[]{12}\cdot4\sqrt[]{12}[/tex]

steps.

1. apply the laws of exponents

[tex]\begin{gathered} \sqrt{a}\sqrt{a}=a \\ \end{gathered}[/tex][tex]\sqrt{12}\sqrt{12}=12[/tex][tex]=3\cdot\: 12\cdot\: 4[/tex]

2. multiply

[tex]=144[/tex]

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

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