SOLUTION: can you help me simplify by combining like terms? sqrt{{{63}}}-2sqrt{{{28}}}+5sqrt{{{7}}}

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Question 77913: can you help me simplify by combining like terms?
sqrt-2sqrt+5sqrt

Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!

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In each square root look for factors that are squares.
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Notice that 9 in the first square root and 4 in the second square root are squares.
Split the squares using the product rule for square roots to get:
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Take the square root of 9 and the square root of 4 to reduce the expression to:
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Multiply the 2*2:
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Factor the from each of the three terms to get:
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Combine the terms inside the parentheses to get +4 and the expression finally becomes:
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That's the answer. Cheers!

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