Question

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

Pls i really need help on this :/

Answer 1

Answer:
`(√(77))/(11)`

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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).