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svp [43]
3 years ago
6

9 exponent 10 Divide by 9 exponent 11

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

\frac{\sqrt{110} }{11} or \frac{\sqrt{10} }{\sqrt{11} }

Step-by-step explanation:

I assume you mean \frac{9\sqrt{10} }{9\sqrt{11} }

there is a common factor of 9 in the numerator and denominator so we can cancel out to form \frac{\sqrt{10} }{\sqrt{11} }

\frac{\sqrt{10} }{\sqrt{11} } is technically a correct answer, but I will go ahead to rationalize the denominator

multiply \frac{\sqrt{10} }{\sqrt{11} } by some form of 1. this case, we will use \frac{\sqrt{11} }{\sqrt{11} } as our 1.

\frac{\sqrt{10} }{\sqrt{11} }*\frac{\sqrt{11} }{\sqrt{11} } = \frac{\sqrt{10} *\sqrt{11} }{\sqrt{11} *\sqrt{11} } = \frac{\sqrt{110} }{11}

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