Question

PLEASE HELP What is the radical form of the expression 423 ? 43−−√ 34−−√ 42−−√3 24−−√3

Answer 1

For this case we must express the number "423" in a radical way.

We have to, we can rewrite it as:

$423 = 9 * 47 = 3 ^ 2 * 47$

So, we have to:

$423 = \sqrt {3 ^ 2 * 47}$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$423 = \sqrt {3 ^ 2 * 47} = 3 \sqrt {47}$

Answer:

$3 \sqrt {47}$