Question

simplify each of following by
rationalizing a denominator(1) 7+3√5/7-3√5
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Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Rationalize: (7 + 3√5) / (7 - 3√5)

multiply by Numerator & Denominator by (7 + 3√5), we get:

= (7 + 3√5)(7 + 3√5) / (7 - 3√5)(7 + 3√5)

= ( 7 + 3√5 )² / ( 7² - (3√5)² )

= (7² + (3√5)² + 2×7×3√5) / (49 - 45)

= (49 + 45 + 42√5) / (4)

= (94 + 42√5)/4

= (47 + 21√5)/2

or = 47/2 + 21√5/2

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