SOLUTION: What is the simplified form of the expression? 8 the square root of 2 + 4 the square root of 2 - 5 the square root of 2

Algebra ->  Square-cubic-other-roots -> SOLUTION: What is the simplified form of the expression? 8 the square root of 2 + 4 the square root of 2 - 5 the square root of 2      Log On


   

Question 872325: What is the simplified form of the expression?
8 the square root of 2 + 4 the square root of 2 - 5 the square root of 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
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What is the simplified form of the expression?
8 the square root of 2 + 4 the square root of 2 - 5 the square root of 2
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Think of sqrt%282%29 as x

So 8%2Asqrt%282%29%2B4%2Asqrt%282%29-5%2Asqrt%282%29 is the same as 8%2Ax%2B4%2Ax-5%2Ax when we use this definition

Combine like terms: 8%2Ax%2B4%2Ax-5%2Ax+=+%288%2B4-5%29x+=+7x

Then replace x with sqrt%282%29: 7x+=+7%2Asqrt%282%29

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So, 8%2Asqrt%282%29%2B4%2Asqrt%282%29-5%2Asqrt%282%29=7%2Asqrt%282%29