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please help me solve this step by step with wrriten explanation. context and words help me

Please Help Me Solve This Step By Step With Wrriten Explanation Context And Words Help Me class=

Sagot :

[tex]\begin{gathered} \text{If we try to rationalize} \\ \frac{5}{1+\sqrt[]{7}}\text{ using }\sqrt[]{7} \\ \\ \text{what happens is we still end up having a denominator with a radical} \end{gathered}[/tex][tex]\begin{gathered} \frac{5}{1+\sqrt[]{7}}\cdot\frac{\sqrt[]{7}}{\sqrt[]{7}},\text{ multiply by 1} \\ =\frac{5\sqrt[]{7}}{1(\sqrt[]{7})+\sqrt[]{7}(\sqrt[]{7})},\text{ distribute }\sqrt[]{7\text{ }}\text{ to numerators and denominator} \\ =\frac{5\sqrt[]{7}}{\sqrt[]{7}+7}\text{ final answer} \end{gathered}[/tex]

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