We Can Often Multiply and Divide Radicals with Different Indexes $$\sqrt { 3 } \sqrt [ 3 ] { 5 } = \sqrt [ 6 ] { 27 } \sqrt [ 6 ] { 25 } = \sqrt [ 6 ] { ( 27 ) ( 25 ) } = \sqrt [ 6 ] { 675 }$$

question 109

Multiple Choice

We can often multiply and divide radicals with different indexes.For example: $$\sqrt { 3 } \sqrt [ 3 ] { 5 } = \sqrt [ 6 ] { 27 } \sqrt [ 6 ] { 25 } = \sqrt [ 6 ] { ( 27 ) ( 25 ) } = \sqrt [ 6 ] { 675 }$$
Use this idea to write the following expression as a single radical.
$\sqrt { 5 } \sqrt [ 3 ] { 5 }$

• A) \(\sqrt [ 3 ] { 3125 }\)
• B) \(\sqrt [ 6 ] { 5 }\)
• C) \(\sqrt [ 6 ] { 3125 }\)
• D) \(\sqrt { 3125 }\)
• E) \(\sqrt [ 6 ] { 625 }\)

---

Definitions:

Investment Company

An entity, either a corporation or trust, that specializes in gathering and investing collective funds from investors into financial securities.

Portfolio

A collection of financial investments like stocks, bonds, commodities, cash, and cash equivalents, including mutual funds and ETFs, held by an individual or an institution.

Risk Aversion

The preference to avoid uncertainty and potential loss in investment decisions, favoring safer or less volatile investments.

Historical Standard Deviation

It measures the variability or dispersion of historical returns of an investment around its average return over a certain period, indicating the investment's risk level.