What is the simplified form of the expression? 2sqrt18 - 5sqrt32
1 answer:
Answer
26√2
Step-by-step explanation:
The trick here lies in recognizing that both 18 and 32 have factors that are perfect squares: 18 = 2*9 and 32 = 2*16. Therefore, we can write
2sqrt18 as 2√2√9, or 6√2, and 5sqrt32 as 5√2√16, or 20√2.
Then the original expression, in simplest form, is 6√2 + 20√2, or 26√2
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