Question

P÷✓2=✓t/r+q

express t in the terms of p and q​

Answer 1

Given:

Consider the given equation is:

`p/ √(2)=\sqrt{(t)/(r+q)}`

To find:

The value of t in terms of p, q and r.

Solution:

We have,

`p/ √(2)=\sqrt{(t)/(r+q)}`

It can be written as:

`(p)/(√(2))=\sqrt{(t)/(r+q)}`

Taking square on both sides, we get

`(p^2)/(2)=(t)/(r+q)`

Multiply both sides by (r+q).

`(p^2(r+q))/(2)=t`

Therefore, the required solution is
`t=(p^2(r+q))/(2)`.