Question

Write in ascending order of the surds given in each of the following sets $\sqrt[4]{4625},\sqrt[3]{3343},\sqrt{100}$

Answer 1

Given the following sets

$\sqrt[4]{4625}=\sqrt[4]{4{\left(5\right)}^4}=\sqrt[4]{45\times 5\times 5\times 5}=5$

$\sqrt[3]{3343}=\sqrt[3]{3{\left(7\right)}^3}=\sqrt[3]{37\times 7\times 7}=7$

$\sqrt{100}=\sqrt{10\times 10}=10$

Hence, the ascending order is $5<7<10$.