What is \frac{\sqrt{7}}{\sqrt{11}} in simplest radical form? Pls i really need help on this :/

Question

What is \frac{\sqrt{7}}{\sqrt{11}} in simplest radical form?

Pls i really need help on this :/

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Diễm Thu 3 weeks 2021-08-25T02:31:38+00:00 1 Answers 0 views 0

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    2021-08-25T02:33:24+00:00

    Answer:  \frac{\sqrt{77}}{11}

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    Explanation:

    Assuming you want to rationalize the denominator, we multiply top and bottom by sqrt(11) like so

    x = \frac{\sqrt{7}}{\sqrt{11}}\\\\x = \frac{\sqrt{7}*\sqrt{11}}{\sqrt{11}*\sqrt{11}}\\\\x = \frac{\sqrt{7*11}}{\sqrt{11*11}}\\\\x = \frac{\sqrt{77}}{\sqrt{121}}\\\\x = \frac{\sqrt{77}}{11}\\\\

    In the third step, I used the rule that sqrt(A)*sqrt(B) = sqrt(A*B).

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