Answer:
25[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{98}[/tex] = [tex]\sqrt{49(2)}[/tex] = [tex]\sqrt{49}[/tex] × [tex]\sqrt{2}[/tex] = 7[tex]\sqrt{2}[/tex]
[tex]\sqrt{32}[/tex] = [tex]\sqrt{16(2)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
Thus
3[tex]\sqrt{98}[/tex] + [tex]\sqrt{32}[/tex]
= 3(7[tex]\sqrt{2}[/tex] ) + 4[tex]\sqrt{2}[/tex]
= 21[tex]\sqrt{2}[/tex] + 4[tex]\sqrt{2}[/tex]
= 25[tex]\sqrt{2}[/tex]
