![( \sqrt{5} )( \sqrt[3]{5} )](/tpl/images/2036/3085/9ddbc.png)
![We\ are\ given:\\(\sqrt{5})(\sqrt[3]{5})\\To\ simplify\ the\ given\ expression\ we\ may\ use\ the\ following\ two\\ 'Laws\ Of\ Exponents'.\\1.\sqrt[n]{a}=a^{\frac{1}{n}}\\2.m^a*m^b=m^{(a+b)}\\With\ these\ two\ equations\ we\ can\ proceed\ with\ our\ problem:\\Hence\ following\ Law\ 1,\\\sqrt{5}=5^{\frac{1}{2}} \\\sqrt[3]{5}=5^{\frac{1}{3}}\\Hence,\\\sqrt{5}*\sqrt[3]{5}=5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Hence,\\5^{\frac{1}{2}}* 5^{\frac{1}{3}}\\Now,\ by\ using\ Law\ 2,\\](/tpl/images/1009/3138/f25bc.png)
Simplify
a. 5 5/6
b. 5 1/6
c. 5 2/3
d. 5 7/6...
Answers: 3
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