Question

Guys i really can't solve this one
make b the subject of the formula T= 2π√a/b

Answer 1

see explanation

Explanation:

assuming the equation is

T = 2π
`\sqrt{(a)/(b) }` ( divide both sides by 2π )

`(T)/(2\pi )` =
`\sqrt{(a)/(b) }` ( square both sides to clear the radical )

(
`(T)/(2\pi )` )² =
`(a)/(b)` , that is

`(T^2)/(4\pi ^2)` =
`(a)/(b)` ( cross- multiply )

b T² = 4aπ² ( divide both sides by T² )

b =
`(4a\pi ^2)/(T^2)`