What is the simplified form of the following expression? 2 square root of 18 plus 3 square root of 2 plus square root of 162
Answer
A
36 square root of 2
B
18 square root of 2
C
30 square root of 2
D
6 square root of 2
Explanation
Simplify each radical: √18 = 3√2, so 2√18 = 6√2; and √162 = 9√2. Then add the like terms: 6√2 + 3√2 + 9√2 = 18√2. The simplified form is 18√2, choice B.
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