Question

Multiply (Assume all expressions appearing under a square root symbol represent nonnegative numbers)(√5 - 3)² =

Answer 1

Given:

`(√(y)\text{ -3\rparen}^2`

Required:

Multiply (Assume all expressions appearing under a square root symbol represent nonnegative numbers)

Step-by-step explanation:

`\mathrm{Simplify}\:\left(√(y)-3\right)^2`

Apply perfect square formula we get

`\left(a-b\right)^2=a^2-2ab+b^2`

we place the value in this formula we get,

`\begin{gathered} =(√(y))^2+(3)^2-2.√(y).3 \\ \\ ==\left(√(y)\right)^2-2√(y)\cdot\:3+3^2 \end{gathered}`
`\begin{gathered} (√(y))^2=y \\ \\ -2√(y)\cdot\:3=-6√(y) \\ \\ 3^2=9 \end{gathered}`
`=y-6√(y)+9`

Required answer:

`=y-6√(y)+9`