Question

Q-: Simplify ⁴√1250÷⁴√2

Answer 1

$\sqrt[4]{1250} \div \sqrt[4]{2} \\ \\ = {1250}^{ \frac{1}{4} } \div {2}^{ \frac{1}{4} } \\ \\ = {(1250 \div 2)}^{ \frac{1}{4} } \\ \\ = {625}^{ \frac{1}{4} } \\ \\ = { {(5)}^{(4)} }^{( \frac{1}{4} )} \\ \\ = {5}^{1} \\ \\ = 5$

Answer 2

$\sqrt[4]{1250} = 5 \times 5 \times 5 \times 5 \times 2 = 5 \sqrt[4]{2} \\ 5 \sqrt[4]{2} \div \sqrt[4]{2} = 5 \: answer$