Answer:
option C is correct
The simplifies expression is, [tex]15\sqrt{2}[/tex]
Step-by-step explanation:
Given the expression: [tex]\sqrt{8} +\sqrt{98}+\sqrt{72}[/tex]
We can write:
8 as [tex]2 \times 2\times 2 = 2^2 \times 2[/tex]
98 as [tex]7\time 7 \times 2 = 7^2 \times[/tex]
72 as [tex]6\times 6 \times 2 = 6^2 \times 2[/tex]
then we have;
[tex]\sqrt{2^2 \times 2} +\sqrt{7^2 \times 2} +\sqrt{6^2 \times 2}[/tex]
We know;
[tex]\sqrt{ab} = \sqrt{a} \cdot \sqrt{b}[/tex]
[tex]\sqrt[n]{a^n} = a[/tex]
Using these we have;
[tex]2\sqrt{2} +7\sqrt{2} +6\sqrt{2} = 15\sqrt{2}[/tex]
therefore, the simplified for the given expression is, [tex]15\sqrt{2}[/tex]
