Q:

PLEASE HELP I NEED THIS DONE!What is the radical form of each of the given expressions?Drag the answer into the box to match each expression.5 2/3 -------- ???5 1/2 -------- ???3 2/5 -------- ???3 5/2 ------- ???Options:√5 || √3^5 || ^5√3^2 || ^3√5^2 || √3 || ^3√5

Accepted Solution

A:
Use the rule that says [tex]x^{y/z} = {}^z\sqrt{x^y} [/tex] to get the following:

[tex]5^{2/3} = {}^3\sqrt{5^2} [/tex]

[tex]5^{1/2} = {}^2\sqrt{5^1} = \sqrt{5} [/tex]

[tex]3^{2/5} = {}^5\sqrt{3^2} [/tex]

[tex]3^{5/2} = {}^2\sqrt{3^5} = \sqrt{3^5} [/tex]