Question

Simplify the expression Our coefficient a = ?Our radical b = ?

Answer 1

Expression

`\sqrt[]{72}=\sqrt[]{8\cdot9}=\sqrt[]{2^3\cdot3^2}`

Applying the exponent law

`\sqrt[]{2^2\cdot2\cdot3^2}=\sqrt[]{2^2}\cdot\sqrt[]{2}\cdot\sqrt[]{3^2}`

Then

`\begin{gathered} \sqrt[]{2^2}=2 \\ \text{and} \\ \sqrt[]{3^2}=3 \end{gathered}`

Therefore

`2\cdot\sqrt[]{2}\cdot3`

Multiply 2 by 3

`6\sqrt[]{2}`

Answer:

a = 6

b = 2