Question

I will give 100 points

Answer 1

(a) 12

(b) 36

Explanation:

Knowledge check:
`√(x) =\sqrt[2]{x}`

Apply the exponent rule:

`(\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0`

Question (a)

`(√(6))^2 * (√(2))^2=6 * 2=12`

Question (b)

`(\sqrt[3]{3})^3 * (√(12))^2=3 * 12=36`

Answer 2

Part A

• (√6)² x (√2)²

• 6 x 2

• 12

Part B

• (∛3)³ x (√12)²

• 3 x 12

• 36

Addtional Information:

• 
  `\bold{(√(x) )^2 = x}`

• 
  `\bold{(\sqrt[3]{x} )^3 = x}`