Question

Which choices are equivalent to the expression below? 4 square root 3

Answer 1

For this case we must find an expression equivalent to:

$4 \sqrt {3}$

By definition of properties of powers and roots we have:

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

So, we can rewrite the given expression as:

$4 ^ {\frac {2} {2}} \sqrt {3} =\\\sqrt {4 ^ 2 * 3} =\\\sqrt {16 * 3} =\\\sqrt {48}$

So, an equivalent expression is:

$\sqrt {48}$

Answer:

$\sqrt {48}$