Question

rationalize the denominator of the following expression.
\\(\frac{\sqrt4{3}}{\sqrt4{7}}\\)
\\(\frac{\sqrt4{3}}{\sqrt4{7}} = \square\\) (simplify your answer. type an exact answer, using radic

Explanation:

Step1: Multiply by $\frac{\sqrt[4]{7^3}}{\sqrt[4]{7^3}}$

$\frac{\sqrt[4]{3}}{\sqrt[4]{7}} \times \frac{\sqrt[4]{7^3}}{\sqrt[4]{7^3}}$

Step2: Combine radicals in denominator

$\frac{\sqrt[4]{3 \times 7^3}}{\sqrt[4]{7 \times 7^3}} = \frac{\sqrt[4]{3 \times 343}}{\sqrt[4]{7^4}}$

Step3: Simplify denominator and numerator

$\frac{\sqrt[4]{1029}}{7}$

Answer:

$\frac{\sqrt[4]{1029}}{7}$