Question
Simplify the expression: 4 square root of 18 + 5 square root of 32
Answers
GPT 3.5
To simplify the expression, we need to factor out any perfect squares from under the square roots.
First, we simplify the square root of 18:
4√18 = 4√(9 x 2) = 4(3)√2 = 12√2
Next, we simplify the square root of 32:
5√32 = 5√(16 x 2) = 5(4)√2 = 20√2
Therefore, the simplified expression is:
12√2 + 20√2 = 32√2
First, we simplify the square root of 18:
4√18 = 4√(9 x 2) = 4(3)√2 = 12√2
Next, we simplify the square root of 32:
5√32 = 5√(16 x 2) = 5(4)√2 = 20√2
Therefore, the simplified expression is:
12√2 + 20√2 = 32√2