Question

What is the following quotient 9+ sqrt 2/4 - sqrt7

Answer 1

C on EDGE

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Answer 2

Answer:


`(36+9 √(7) +4 √(2) + √(14) )/(9)`

Step-by-step explanation:


1) Expression given:


`(9+ √(2) )/(4- √(7) )`

2) Rationalize by multiplying and dividing by the conjugate of the denominator



`((9+ √(2) ))/((4- √(7) )) ((4 + √(7) ))/((4+ √(7) ))`

3) Due the operations


`(9(4)+9 √(7) +4 √(2) + √(14) )/(4^2-7) =`


`(36+9 √(7) +4 √(2) + √(14) )/(9)`