Question

H√32 was simplified and the final answer is 12√2. What was the value of H in the original question?

Answer 1

H = 3

Explanations:

Given the radical function

`H√(32)`

Simplify the radical expression to have:

`\begin{gathered} H√(32)=H√(16*2) \\ H√(32)=4H√(2) \end{gathered}`

Equate the result to 12√2.

`\begin{gathered} 12√(2)=4H√(2) \\ 12=4H \end{gathered}`

Divide both sides by 4

`\begin{gathered} (12)/(4)=(4H)/(4) \\ H=3 \end{gathered}`

Hence the value of H is 3