Answer:
5[tex]\sqrt{11}[/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{99}[/tex]
= [tex]\sqrt{9(11)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{11}[/tex]
= 3[tex]\sqrt{11}[/tex]
-----------------------
[tex]\sqrt{44}[/tex]
= [tex]\sqrt{4(11)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{11}[/tex]
= 2[tex]\sqrt{11}[/tex]
Then
[tex]\sqrt{99}[/tex] + [tex]\sqrt{44}[/tex]
= 3[tex]\sqrt{11}[/tex] + 2[tex]\sqrt{11}[/tex]
= 5[tex]\sqrt{11}[/tex]
with a = 5 and b = 11
