Question 497716
Given Problem:
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{{{sqrt(27)-sqrt(48)}}}
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Factor the terms inside each radical. Look for factors that are perfect squares (in this problem they are 9 and 16).
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{{{sqrt(9*3)- sqrt(16*3)}}}
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Split each of the radicals into the product of the radicals of its factors:
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{{{sqrt(9)*sqrt(3)-sqrt(16)*sqrt(3)}}}
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Determine the square roots of the two radicals containing 9 and 16:
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{{{3*sqrt(3)- 4*sqrt(3)}}}
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Factor out the square root of 3 because it is common to both terms:
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{{{sqrt(3)*(3-4)}}}
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Combine the two terms in the parentheses:
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{{{sqrt(3)*(-1)}}}
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Multiply the -1 times the square root of 3 and use a calculator to determine the decimal value of the square root of 3:
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{{{-sqrt(3) = -1.732050808}}}
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Hope this helps you to understand how to do this problem and others like it.