For this case we must express the number "423" in a radical way.
We have to, we can rewrite it as:
[tex]423 = 9 * 47 = 3 ^ 2 * 47[/tex]
So, we have to:
[tex]423 = \sqrt {3 ^ 2 * 47}[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]423 = \sqrt {3 ^ 2 * 47} = 3 \sqrt {47}[/tex]
Answer:
[tex]3 \sqrt {47}[/tex]
