Question

1.

Please show steps
Write the expression in simplest form.

( Sqrt x-sqrt3y) (sqrt x + sqrt3y)

Answer 1

`\left(\sqrt x - √(3y) \right) \left(\sqrt x + √(3y) \right)\\\\=\left(\sqrt x\right)^2 - \left(√(3y) \right)^2\\\\=x -3y`

Answer 2

x - 3y

Solving Stepwise:

`\hookrightarrow \sf \left(√(x)-√(3y)\right)\left(√(x)+√(3y)\right)`

• 
  `\sf apply \ the \ rule : \bold{\left(a-b\right)\left(a+b\right)=a^2-b^2}`

`\hookrightarrow \sf \left(√(x)\right)^2-\left(√(3y)\right)^2`

`\hookrightarrow \sf x-3y`