Question

What is the following quotient?

StartFraction 9 + StartRoot 2 EndRoot Over 4 minus StartRoot 7 EndRoot EndFraction
StartFraction 9 StartRoot 7 EndRoot + StartRoot 14 EndRoot Over negative 3 EndFraction
StartFraction 36 minus 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot minus StartRoot 14 EndRoot EndFraction
StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction
StartFraction 79 Over 9 EndFraction

Answer 1

c

Explanation:

edge 2021

Answer 2

StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction

Explanation:

(9 + sqrt(2))/(4 - sqrt(7))

Multiply and divide by 4 + sqrt(7)

[(9 + sqrt(2))(4 + sqrt(7))]/(4² - 7)

[36 + 4sqrt(2) + 9sqrt(7) + sqrt(14)]/9