Question

1

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the expressions with their simplified versions.

Answer 1

Below we present each expression with its simplest form.

`4√(2) √(2)=4(2)=8`

`3√(7) -2√(7)=(3-2)√(7) = √(7)`

`(√(7) )/(2√(7) ) =(1)/(2)`

`2√(5) 2√(5)=4(5)=20`

So, the first expression matches with 8.

The second expression matches with the square root of seven.

The third expression matches with one-half.

The fourth expression matches with 20.

Answer 2

`4√(2).√(2) = 8\\3√(7)-2√(7) =√(7)\\(√(7))/(2√(7)) = (1)/(2)\\2√(5).2√(5) = 20`

Explanation:

`4√(2).√(2)\\=4 . (√(2))^2\\=4*2\\=8\\\\3√(7)-2√(7)\\As\ the\ square\ root\ is\ same\ in\ both\ terms\\= (3-2)√(7)\\=√(7)\\\\(√(7))/(2√(7)) \\The\ square\ roots\ will\ be\ cancelled\\= (1)/(2)\\ \\2√(5).2√(5)\\=(2*2)(√(5))^2\\=4*5\\=20`