Question

a varies jointly as the square root of the product of b and c. if a = 24 when b = 8 and c= 2 , find v when a = 48 and c = 4​

Answer 1

b = 16

Explanation:

× stands for varies

a × √bc,

a = k√bc,

when a = 24, b = 8, c= 2

a = k√bc

24 = k√8•2

24 = k√16

24 = 4k

dividing both sides by 4

k = 24/4

k = 6

a = 6√bc (standard equation)

find b when a = 48 and c = 4

a = 6√bc

48 = 6√b•4

dividing both sides by 6

48/6 = √b•4

8 = √b•4

squaring both sides

8^2 = b•4

64 = b•4

b = 64/4

b= 16.

Thrrefore when a = 48, c = 4, b = 16.