luyadzhang
contestada

When $\sqrt[3]{2700}$ is simplified, the result is $a\sqrt[3]{b}$, where $a$ and $b$ are positive integers and $b$ is as small as possible. What is $a+b$?

Respuesta :

Answer:

103

Step-by-step explanation:

To simplify [tex]\sqrt[3]{2700}[/tex]

[tex]\sqrt[3]{2700}=\sqrt[3]{27X100}\\\\=\sqrt[3]{27}X\sqrt[3]{100}\\\\=3X\sqrt[3]{100}\\\\=3\sqrt[3]{100}[/tex]

Comparing our result with [tex]a\sqrt[3]{b}[/tex]

a=3, b=100

Therefore:

a+b=3+100=103

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