Question

3\sqrt{2} - 2\sqrt{18} + 6\sqrt{8}[/tex]

Answer 1

`\sf \bold 9√(2)`

Explanation:

Simplifying radicals

Step1: Prime fatorize and reduce to simplest form

Step2: Combine like radicals

`\sf 3√(2) - 2√(18)+6√(8)= 3√(2)- 2√(3*3*2)+6√(2*2*2)`

`\sf = 3√(2)-2*3√(2) +6*2√(2)\\\\=3√(2)-6√(2)+12√(2)\\\\=(3-6+12)√(2)\\\\ = 9√(2)`