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

Pls i really need help on this :/

User Fesler
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1 Answer

9 votes

Answer:
(√(77))/(11)

===================================================

Step-by-step explanation:

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


x = (√(7))/(√(11))\\\\x = (√(7)*√(11))/(√(11)*√(11))\\\\x = (√(7*11))/(√(11*11))\\\\x = (√(77))/(√(121))\\\\x = (√(77))/(11)\\\\

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

User Seganku
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