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Rationalize the denominator and simplify

Rationalize the denominator and simplify-example-1
User Gillfish
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1 Answer

6 votes

Answer:

sqrt(70)/7

Explanation:

sqrt(10/7)

sqrt ( a/b) = sqrt(a)/ sqrt(b)

sqrt(10) / sqrt(7)

But we don't leave a sqrt in the denominator, so multiply by sqrt(7) /sqrt(7)

sqrt(10) /sqrt(7) * sqrt(7) / sqrt(7)

sqrt(70)/ sqrt(49)

sqrt(70)/7

User Eugene Ihnatsyeu
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5.3k points