Simplify by rationalizing the denominator: Start Fraction 4 over Start Root 10 End Root minus Start Root 6 End Root End Fraction

(1 point)
Responses

Start Root 10 End Root plus Start Root 6 End Root
Image with alt text: Start Root 10 End Root plus Start Root 6 End Root

4
4

4 times Start Root 10 End Root plus 4 times Start Root 6 End Root
Image with alt text: 4 times Start Root 10 End Root plus 4 times Start Root 6 End Root

Start Fraction 4 times Start Root 10 End Root minus 4 times Start Root 6 End Root over 16 minus 2 times Start Root 15 End Root End Fraction

1 answer

The simplified expression after rationalizing the denominator is:

4√10 + 4√6 / 16 - 2√15
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