Question

The geometric mean and one extreme are given. Find the other extreme.

33)√35 is the geometric mean between p and q. Find q if p = √7​

Answer 1

q= 5

Explanation:

Geometric mean of two term p and q is =
`√(pq)`

we have

p = √7​

geometric mean = √35

Thus, using the formula of geometric mean

√35 = √7​*q

`√(35) = √(7q) \\`

squaring both sides

`√(35)^2 = √(7q) ^2\\=>35 = 7q\\=> q = 35/7 = 5`

Thus, q= 5