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rationalize: (sqrt5 + sqrt2) / 9 + 2sqrt14 please give the answer with steps

rationalize: (sqrt5 + sqrt2) / 9 + 2sqrt14
please give the answer with steps

Grade:9

1 Answers

Arun
25750 Points
5 years ago
Dear student
sqrt (5) + sqrt (2) / ( 9 + 2 sqrt14)
multiplying by 9 – 2 sqrt14 in both Numerator and denominator
(9 sqrt 5 – 2 sqrt 70 + 9 sqrt2 + 4 sqrt 7) / 81 – 56
= ( 9 sqrt 5 – 2 sqrt 70 + 9 sqrt2 + 4 sqrt 7) / 25
Hope it helps

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