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help me pleaseeeeeee!the result is (rational/irrational) because it (cannot/can) be written as the ratio of two integers and it’s decimal expansion (does/does not) terminate or repeat

Help Me Pleaseeeeeeethe Result Is Rationalirrational Because It Cannotcan Be Written As The Ratio Of Two Integers And Its Decimal Expansion Doesdoes Not Termina class=

Sagot :

[tex]4\sqrt[]{3}\times2\sqrt[]{27}[/tex]

To multiply the above numbers, here are the steps:

1. Multiply the whole number and the radicands.

[tex]\begin{gathered} 4\times2=8 \\ \sqrt[]{3}\times\sqrt[]{27}=\sqrt[]{81} \end{gathered}[/tex]

2. Get the square root of 81.

[tex]\sqrt[]{81}=9[/tex]

3. Multiply the answer in #2 to the product of the whole numbers.

[tex]8\times9=72[/tex]

Therefore, the product of 4√3 and 2√27 is 72.

The result is rational because it can be written as the ratio of two integers and its decimal expansion does terminate or repeat.

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