minamistofsky
minamistofsky minamistofsky
  • 08-11-2019
  • Mathematics
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What is the simplified form of the expression? 2sqrt18 - 5sqrt32
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altavistard
altavistard altavistard
  • 11-11-2019

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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